<<

Olaf Lechtenfeld Publications 07/21 References

[1] U. Abresch, A. Bovier, O. Lechtenfeld, M. L¨uling, V. Rittenberg and G. Weymans, Finite nonabelian subgroups of SU(n) with analytic expressions for the irreducible representations and the Clebsch–Gordan coefficients, J. Math. Phys. 21 (10) (1980) 2481. [2] O. Lechtenfeld, Systematische Behandlung von Bindungszust¨anden in der QED, Bonn University internal report (1982), in German, unpublished. [3] K. Dietz, O. Lechtenfeld and G. Weymans, Optimised mean fields for atoms I. Mean-field methods for the description of N- systems, J. Phys. B: At. Mol. Phys. 15 (1982) 4301–4314. [4] K. Dietz, O. Lechtenfeld and G. Weymans, Optimised mean fields for atoms II. Numerical studies, J. Phys. B: At. Mol. Phys. 15 (1982) 4315–4330. [5] R. Flume and O. Lechtenfeld, On the stochastic structure of globally supersymmetric field theories, Phys. Lett. B 135 (1984) 91–95. [6] O. Lechtenfeld, Stochastic variables in N=1 supersymmetric Yang–Mills theory, Phys. Lett. B 149 (1984) 147–151. [7] O. Lechtenfeld, Konstruktion der Nicolai-Abbildung in supersymmetrischen Feldtheorien, PhD thesis, report Bonn-IR-84-42 (1984), in German, unpublished. [8] K. Dietz and O. Lechtenfeld, Nicolai maps and stochastic observables from a coupling constant flow, Nucl. Phys. B 255 (1985) 149–173. [9] K. Dietz and O. Lechtenfeld, Ghost-free quantisation of non-abelian gauge theories via the Nicolai transformation of their supersymmetric extensions, Nucl. Phys. B 259 (1985) 397–411. [10] O. Lechtenfeld, W. Nahm and D.H. Tchrakian, Dirac equations for generalized Yang–Mills systems, Phys. Lett. B 162 (1985) 143–147. [11] O. Lechtenfeld, Stochastic variables in ten dimensions?, Nucl. Phys. B 274 (1986) 633–652. [12] V.A. Kosteleck´y, O. Lechtenfeld, W. Lerche, S. Samuel and S. Watamura, A four-point amplitude for the O(16)×O(16) heterotic string, Phys. Lett. B 182 (1986) 331–336. [13] V.A. Kosteleck´y, O. Lechtenfeld, S. Samuel, D. Verstegen, S. Watamura and D. Sahdev, The six-fermion amplitude in the superstring, Phys. Lett. B 183 (1986) 299–303. [14] V.A. Kosteleck´y, O. Lechtenfeld, W. Lerche, S. Samuel and S. Watamura, Conformal techniques, bosonization and tree-level string amplitudes, Nucl. Phys. B 288 (1987) 173–232.

1 [15] V.A. Kosteleck´yand O. Lechtenfeld, Lorentzian algebra for the superstring, Phys. Rev. Lett. 59 (1987) 169–172. [16] V.A. Kosteleck´y, O. Lechtenfeld and S. Samuel, Covariant string amplitudes on exotic topologies to one loop, Nucl. Phys. B 298 (1988) 133–177. [17] O. Lechtenfeld and A.J. Parkes, On the vanishing of the genus two superstring vacuum amplitude, Phys. Lett. B 202 (1988) 75–80. [18] O. Lechtenfeld and S. Samuel, Covariant off-shell string amplitudes with auxiliary fields, Nucl. Phys. B 308 (1988) 361–378. [19] O. Lechtenfeld, Three-loop vanishing of the superstring cosmological constant, Nucl. Phys. B 309 (1988) 361–378. [20] O. Lechtenfeld and S. Samuel, Off-shell conformal methods for the superstring, Nucl. Phys. B 310 (1988) 254–290. [21] O. Lechtenfeld and S. Samuel, Gauge-invariant modification of Witten’s open superstring, Phys. Lett. B 213 (1988) 431–438. [22] O. Lechtenfeld, On the finiteness of the superstring, Nucl. Phys. B 322 (1989) 82–106. [23] O. Lechtenfeld and A.J. Parkes, On covariant multi-loop superstring amplitudes, Nucl. Phys. B 332 (1990) 39–82. [24] O. Lechtenfeld and W. Lerche, On non-renormalization theorems for four-dimensional superstrings, Phys. Lett. B 227 (1989) 373–380. [25] O. Lechtenfeld, Superconformal ghost correlations on Riemann surfaces, Phys. Lett. B 232 (1989) 193–198. [26] O. Lechtenfeld, Factorization and modular invariance of multi-loop superstring amplitudes in the unitary gauge, Nucl. Phys. B 338 (1990) 403–414. [27] M. Dine, W. Fischler, O. Lechtenfeld, J. Polchinski and B. Sakita, Baryon number violation at high temperature in the Standard Model, Nucl. Phys. B 342 (1990) 381–408. [28] O. Lechtenfeld, High energy versus high temperature — a Minkowskian point of view of baryon number violation in the Standard Model, Talk at the Santa Fe Workshop on “Baryon Number Violation at the SSC?”, 27–30 April 1990, Proceedings, eds. Mattis & Mottola, pp.139–160, World Scientific, 1990. [29] O. Lechtenfeld, R. Ray and A. Ray, Phase diagram and orthogonal polynomials in multiple-well matrix models, Int. J. Mod. Phys. A 6 (1991) 4491–4515.

2 [30] O. Lechtenfeld, Chaos in matrix models?, Contribution to “, Symmetries and Strings: A Symposium in Honor of Bunji Sakita’s 60th Birthday”, New York City, 01–02 October 1990, eds. Kaku, Jevicki & Kikkawa, pp.149–163, World Scientific, 1991. [31] O. Lechtenfeld, Eigenvalue tunneling in matrix models, Int. J. Mod. Phys. A 7 (1992) 2335–2354. [32] O. Lechtenfeld, hep-th/9112045 Semiclassical approach to finite-N matrix models, Int. J. Mod. Phys. A 7 (1992) 7097–7118. [33] O. Lechtenfeld and C.R. Nappi, hep-th/9204026 Dilaton gravity and no-hair theorem in two dimensions, Phys. Lett. B 288 (1992) 72–76. [34] O. Lechtenfeld, hep-th/9312124 Collective field theory for D=0 matrix models, Talk at the 27th Int. Symposium Ahrenshoop on the Theory of Elementary Particles, Wendisch-Rietz, Germany, 07–11 Sept. 1993, Proceedings: pp. 32–44, DESY preprint 94-053. [35] S.V. Ketov, O. Lechtenfeld and A.J. Parkes, hep-th/9312150 Twisting the N=2 string, Phys. Rev. D 51 (1995) 2872–2890. [36] J. Bischoff, S.V. Ketov and O. Lechtenfeld, hep-th/9406101 The GSO projection, BRST cohomology and picture-changing in N=2 , Nucl. Phys. B 438 (1995) 373–410. [37] S.V. Ketov and O. Lechtenfeld, Twisting and BRST cohomology of the N=2 string, Talk by S.V.K. at the 20th Yamada International Colloquium on Group Theoretical Methods in Physics, 04–09 July 1994, Toyonaka, Japan, eds. Arima, Eguchi & Nakanishi, pp. 272–277, World Scientific, 1995. [38] O. Lechtenfeld and S. Samuel, hep-th/9411001 Four-dimensional twisted group lattices, Nucl. Phys. B 449 (1995) 406–432. [39] O. Lechtenfeld and S. Samuel, hep-th/9412197 The solution of the d-dimensional twisted group lattices, Int. J. Mod. Phys. A 11 (1996) 3227–3246. [40] O. Lechtenfeld, hep-th/9412242 From N=2 fermionic strings to superstrings?, Talk at the 28th Int. Symposium Ahrenshoop on the Theory of Elementary Particles, Wendisch-Rietz, Germany, 30 August – 04 Sept. 1994, Proceedings: pp. 16–28, DESY preprint 95-027. [41] O. Bechmann and O. Lechtenfeld, gr-qc/9502011 Exact black-hole solution with self-interacting scalar field, Class. Quantum Grav. 12 (1995) 1473–1482. [42] S.V. Ketov and O. Lechtenfeld, hep-th/9503232 The string measure and spectral flow of critical N=2 strings, Phys. Lett. B 353 (1995) 463–470.

3 [43] O. Lechtenfeld, hep-th/9508100 On the BRST cohomology of N=2 strings, Talk at the Int. Conference “Strings ’95”, USC, 13–18 March 1995, Proceedings: pp. 309–310, Strings ’95, World Scientific, 1996. [44] O. Lechtenfeld, hep-th/9512189 Integration measure and spectral flow in the critical N=2 string, Talk at the 29th Int. Symposium Ahrenshoop on the Theory of Elementary Particles, Buckow, Germany, 29 August – 02 Sept. 1995, Proceedings: Nucl. Phys. B (Proc. Suppl.) 49 (1996) 51–56. [45] O. Lechtenfeld, hep-th/9607106 The self-dual critical N=2 string, Talk at the X Intern. Conference “Problems of ”, Alushta, Crimea, Ukraine, 13–18 May 1996, Proceedings: pp. 348–354, Dubna preprint JINR E2-96-369. [46] J. Bischoff and O. Lechtenfeld, hep-th/9608196 Restoring reality for the self-dual N=2 string, Phys. Lett. B 390 (1997) 153–160. [47] H. Dennhardt and O. Lechtenfeld, gr-qc/9612062 Scalar deformations of Schwarzschild holes and their stability, Int. J. Mod. Phys. A 13 (1998) 741–764. [48] J. Bischoff and O. Lechtenfeld, hep-th/9612218 Path-integral quantization of the (2,2) string, Int. J. Mod. Phys. A 12 (1997) 4933–4972. [49] O. Lechtenfeld and W. Siegel, hep-th/9704076 N=2 worldsheet instantons yield cubic self-dual Yang–Mills, Phys. Lett. B 405 (1997) 49–54. [50] Ch. Devchand and O. Lechtenfeld, hep-th/9712043 Extended self-dual Yang–Mills from the N=2 string, Nucl. Phys. B 516 (1998) 255–272. [51] K. J¨unemann and O. Lechtenfeld, hep-th/9712182 Chiral BRST cohomology of N=2 strings at arbitrary ghost and picture number, Commun. Math. Phys. 203 (1999) 53–69. [52] Ch. Devchand and O. Lechtenfeld, hep-th/9801117 On the self-dual geometry of N=2 strings, Talk by O.L. at the 31st Int. Symposium Ahrenshoop on the Theory of Elementary Particles, Buckow, Germany, 02–06 Sept. 1997, Proceedings: “Theory of Elementary Particles”, ed. H. Dorn, Wiley-VCH 1998, pp. 58–63. [53] Ch. Devchand and O. Lechtenfeld, hep-th/9808053 String-induced Yang–Mills coupling to self-dual gravity, Nucl. Phys. B 539 (1999) 309–328. [54] O. Lechtenfeld and A.S. Sorin, solv-int/9810009 Fermionic flows and tau function of the N=(1|1) superconformal Toda lattice hierarchy, Nucl. Phys. B 557 [PM] (1999) 535–547. [55] O. Lechtenfeld and B. Zupnik, hep-th/9812244 Manifestly invariant actions for harmonic self-dual gauge theory, unpublished.

4 [56] K. J¨unemann, O. Lechtenfeld and A.D. Popov, hep-th/9901164 Non-local symmetries of the closed N=2 string, Nucl. Phys. B 548 (1999) 449–474. [57] A. Galajinsky and O. Lechtenfeld, hep-th/9903149 Towards a stringy extension of self-dual super Yang–Mills, Phys. Lett. B 460 (1999) 288–294. [58] O. Lechtenfeld and A.S. Sorin, solv-int/9907021 Supersymmetric KP hierarchy in N=1 superspace and its N=2 reductions, Nucl. Phys. B 566 [PM] (2000) 489–510. [59] K. J¨unemann and O. Lechtenfeld, hep-th/9912016 Ward identities and the vanishing theorem for loop amplitudes of the closed N=2 string, Phys. Lett. B 474 (2000) 58–66. [60] O. Lechtenfeld and A.S. Sorin, solv-int/9912010 Real forms of the complex twisted N=2 supersymmetric Toda chain hierarchy in real N=1 and twisted N=2 superspaces, J. Nonlinear Math. Phys. 7 (2000) 433–444. [61] O. Lechtenfeld and A.D. Popov, hep-th/9912154 Closed N=2 strings: picture-changing, hidden symmetries and SDG hierarchy, Int. J. Mod. Phys. A 15 (2000) 4191–4237. [62] O. Lechtenfeld, hep-th/9912281 Mathematics and physics of N=2 strings, Talk at JINR workshop “ and Quantum Symmetries”, Dubna, Russia, 27–31 July 1999, Proceedings: SQS ’99, pp. 79–89, Dubna preprint JINR E2-2000-82. [63] O. Lechtenfeld, J. Louis, D. L¨ust and H. Nicolai (eds.), Strings ’99, Proceedings of the Conference in Potsdam, Germany, 19–24 July 1999, Class. Quantum Grav. 17 (2000) 907–1316. [64] E. Ivanov, S. Krivonos and O. Lechtenfeld, hep-th/0006017 Double-vector multiplet and partially broken N=4, d=3 , Phys. Lett. B 487 (2000) 192–200. [65] G. Chalmers, O. Lechtenfeld and B. Niemeyer hep-th/0007020 N=2 quantum string scattering, Nucl. Phys. B 591 (2000) 1–38. [66] T.A. Ivanova and O. Lechtenfeld, hep-th/0007049 Hidden symmetries of the open N=2 string, Int. J. Mod. Phys. A 16 (2001) 303–329. [67] O. Lechtenfeld and A.S. Sorin, nlin.SI/0007009 Hidden N=(2|2) supersymmetry of the N=(1|1) supersymmetric Toda lattice hierarchy, J. Nonlinear Math. Phys. 8 (2001) 183–195. [68] O. Lechtenfeld and A.D. Popov, hep-th/0009144 On the integrability of covariant field theory for open N=2 strings, Phys. Lett. B 494 (2000) 148–154. [69] E. Ivanov, S. Krivonos, O. Lechtenfeld and B. Zupnik, hep-th/0012199 Partial spontaneous breaking of two-dimensional supersymmetry, Nucl. Phys. B 600 (2001) 235–271.

5 [70] O. Lechtenfeld, A.D. Popov and B. Spendig, hep-th/0012200 Open N=2 strings in a B-field background and noncommutative self-dual Yang–Mills, Phys. Lett. B 507 (2001) 317–326. [71] S. Bellucci, A. Galajinsky and O. Lechtenfeld, hep-th/0103049 A heterotic N=2 string with space-time supersymmetry, Nucl. Phys. B 609 (2001) 410–428. [72] O. Lechtenfeld, A.D. Popov and B. Spendig, hep-th/0103196 Noncommutative solitons in open N=2 string theory, JHEP 0106 (2001) 011. [73] O. Lechtenfeld and A.D. Popov, hep-th/0106213 Noncommutative multi-solitons in 2+1 dimensions, JHEP 0111 (2001) 040. [74] O. Lechtenfeld and A.D. Popov, hep-th/0108118 Scattering of noncommutative solitons in 2+1 dimensions, Phys. Lett. B 523 (2001) 178–184. [75] O. Lechtenfeld and A.D. Popov, hep-th/0109209 Noncommutative ’t Hooft instantons, JHEP 0203 (2002) 040. [76] O. Lechtenfeld and W. Siegel, hep-th/0204073 Light-cone gauge for N=2 strings, Russ. Phys. J. 45 (2002) 712–718. [77] O. Lechtenfeld, A.D. Popov and S. Uhlmann, hep-th/0204155 Exact solutions of Berkovits’ string field theory, Nucl. Phys. B 637 (2002) 119–142. [78] A. Kling, O. Lechtenfeld, A.D. Popov and S. Uhlmann, hep-th/0209186 On nonperturbative solutions of superstring field theory, Phys. Lett. B 551 (2003) 193–201. [79] Z. Horv´ath, O. Lechtenfeld and M. Wolf, hep-th/0211041 Noncommutative instantons via dressing and splitting approaches, JHEP 0212 (2002) 060. [80] E. Ivanov, S. Krivonos and O. Lechtenfeld, hep-th/0212303 New variant of N=4 superconformal mechanics, JHEP 0303 (2003) 014. [81] A. Kling, O. Lechtenfeld, A.D. Popov and S. Uhlmann, hep-th/0212335 Solving string field equations: new uses for old tools, Talk by O.L. at the 35th Int. Symposium Ahrenshoop on the Theory of Elementary Particles, Berlin-Schm¨ockwitz, 26–30 Aug. 2002, Proceedings: Fortsch. Phys. 51 (2003) 775–780. [82] T.A. Ivanova and O. Lechtenfeld, hep-th/0305195 Noncommutative multi-instantons on R2n × S2, Phys. Lett. B 567 (2003) 107–115. [83] O. Lechtenfeld and A.D. Popov, hep-th/0306263 Noncommutative monopoles and Riemann–Hilbert problems, JHEP 0401 (2004) 069. [84] E. Ivanov and O. Lechtenfeld, hep-th/0307111 N=4 supersymmetric mechanics in harmonic superspace, JHEP 0309 (2003) 073.

6 [85] E. Ivanov, O. Lechtenfeld and B. Zupnik, hep-th/0308012 Nilpotent deformations of N=2 superspace, JHEP 0402 (2004) 012. [86] O. Lechtenfeld, A.D. Popov and R.J. Szabo, hep-th/0310267 Noncommutative instantons in higher dimensions, vortices and topological K-cycles, JHEP 0312 (2003) 022. [87] E. Ivanov, S. Krivonos and O. Lechtenfeld, hep-th/0310299 N=4, d=1 supermultiplets from nonlinear realizations of D(2, 1; α), Class. Quantum Grav. 21 (2004) 1–20. [88] S. Bellucci, E. Ivanov, S. Krivonos and O. Lechtenfeld, hep-th/0312322 N=8 superconformal mechanics, Nucl. Phys. B 684 (2004) 321–350. [89] O. Lechtenfeld and A.S. Sorin, nlin.SI/0401029 A note on fermionic flows of the N=(1|1) supersymmetric Toda lattice hierarchy, J. Nonlinear Math. Phys. 11 (2004) 294–296. [90] O. Lechtenfeld, hep-th/0401158 Noncommutative instantons and solitons, Talk at the 27th Johns Hopkins Workshop on Current Problems in Particle Theory, G¨oteborg, Sweden, 24–26 Aug. 2003, and at the 36th Int. Symposium Ahrenshoop on the Theory of Elementary Particles, Berlin-Schm¨ockwitz, 26–30 Aug. 2003, Proceedings: JHEP PRHEP-jhw2003/017; Fortsch. Phys. 52 (2004) 596–605. [91] E. Ivanov, O. Lechtenfeld and B. Zupnik, hep-th/0402062 Non-anticommutative N=(1,1) Euclidean superspace, Talk by E.I. at JINR workshop “Supersymmetries and Quantum Symmetries”, Dubna, Russia, July 2003, Proceedings: SQS ’03, pp. 193–201, Dubna preprint JINR E2-2004-22. [92] T.A. Ivanova, O. Lechtenfeld and H. M¨uller-Ebhardt, hep-th/0404127 Noncommutative moduli for multi-instantons, Mod. Phys. Lett. A 19 (2004) 2419–2430. [93] S. Ferrara, E. Ivanov, O. Lechtenfeld, E. Sokatchev and B. Zupnik, hep-th/0405049 Non-anticommutative chiral singlet deformation of N=(1,1) gauge theory, Nucl. Phys. B 704 (2005) 154–180. [94] S. Bellucci, E. Ivanov, S. Krivonos and O. Lechtenfeld, hep-th/0406015 ABC of N=8, d=1 supermultiplets, Nucl. Phys. B 699 (2004) 226–252. [95] O. Lechtenfeld, L. Mazzanti, S. Penati, A.D. Popov and L. Tamassia, hep-th/0406065 Integrable noncommutative sine-Gordon model, Nucl. Phys. B 705 (2005) 477–503. [96] O. Lechtenfeld and A.D. Popov, hep-th/0406179 Supertwistors and cubic string field theory for open N=2 strings, Phys. Lett. B 598 (2004) 113–120. [97] E. Ivanov, O. Lechtenfeld and B. Zupnik, hep-th/0408146 Non-anticommutative deformation of N=(1,1) hypermultiplets, Nucl. Phys. B 707 (2005) 69–86.

7 [98] O. Lechtenfeld, hep-th/0409108 Noncommutative sine-Gordon model, Talk at the XIIIth International Colloquium Integrable Systems and Quantum Groups, Prague, Czech Republic, 17–19 June 2004, and at the 37th Int. Symposium Ahrenshoop on the Theory of Elementary Particles, Berlin-Schm¨ockwitz, 23–27 Aug. 2004, Proceedings: Czech. J. Phys. 54 (2004) 1351–1357; Fortsch. Phys. 53 (2005) 500–505. [99] A.V. Domrin, O. Lechtenfeld and S. Petersen, hep-th/0412001 Sigma-model solitons in the noncommutative plane: construction and stability analysis, JHEP 0503 (2005) 045. [100] T.A. Ivanova and O. Lechtenfeld, hep-th/0502117 Noncommutative instantons in 4k dimensions, Phys. Lett. B 612 (2005) 65–74. [101] C.-S. Chu and O. Lechtenfeld, hep-th/0507062 Time-space noncommutative abelian solitons, Phys. Lett. B 625 (2005) 145–155. [102] C.-S. Chu and O. Lechtenfeld, hep-th/0508055 Emergence of time from dimensional reduction in noncommutative geometry, Mod. Phys. Lett. A 21 (2006) 639–647. [103] A. De Castro, E. Ivanov, O. Lechtenfeld and L. Quevedo, hep-th/0510013 Non-singlet Q-deformation of the N=(1,1) vector multiplet in harmonic superspace, Nucl. Phys. B 747 (2006) 1–24. [104] O. Lechtenfeld and C. S¨amann, hep-th/0511130 Matrix models and D-branes in twistor string theory, JHEP 0603 (2006) 002. [105] O. Lechtenfeld, Integrable noncommutative sine-Gordon model, Talk at JINR workshop “Supersymmetries and Quantum Symmetries”, Dubna, Russia, 27–31 July 2005, Proceedings: SQS ’05, pp. 238–244, Dubna preprint JINR E2-2006-50. [106] I. Buchbinder, E. Ivanov, O. Lechtenfeld, I. Samsonov and B. Zupnik, hep-th/0511234 Renormalizability of non-anticommutative N=(1,1) theories with singlet deformation, Nucl. Phys. B 740 (2006) 358–385. [107] A. De Castro, E. Ivanov, O. Lechtenfeld and L. Quevedo, hep-th/0512275 Non-singlet Q-deformations of N=2 gauge theories, Talk by A.D.C. at JINR workshop “Supersymmetries and Quantum Symmetries”, Dubna, Russia, 27–31 July 2005, Proceedings: SQS ’05, pp. 116–121, Dubna preprint JINR E2-2006-50. [108] T.A. Ivanova and O. Lechtenfeld, hep-th/0603125 Noncommutative instantons on CP n, Phys. Lett. B 639 (2006) 407–410. [109] O. Lechtenfeld, A.D. Popov and R.J. Szabo, hep-th/0603232 Rank two quiver gauge theory, graded connections and noncommutative vortices, JHEP 0609 (2006) 054. [110] M. Klawunn, O. Lechtenfeld and S. Petersen, hep-th/0604219 Moduli-space dynamics of noncommutative abelian sigma-model solitons, JHEP 0606 (2006) 028.

8 [111] O. Lechtenfeld, hep-th/0605034 Noncommutative solitons, Lectures at the Int. Sendai–Beijing Joint Workshop on Noncommutative Geometry and Physics, Sendai, Japan, 01–04 Nov. 2005, Proceedings: pp. 175–200, World Scientific, 2007. [112] A. Galajinsky, O. Lechtenfeld and K. Polovnikov, hep-th/0607215 Calogero models and nonlocal conformal transformations, Phys. Lett. B 643 (2006) 221–227. [113] I. Buchbinder, O. Lechtenfeld and I. Samsonov, hep-th/0608048 Vector-multiplet effective action in the non-anticommutative charged hypermultiplet model, Nucl. Phys. B 758 (2006) 185–203. [114] J. Br¨odel, T.A. Ivanova and Lechtenfeld, hep-th/0703009 Construction of noncommutative instantons in 4k dimensions, Mod. Phys. Lett. A 23 (2008) 179–189. [115] O. Lechtenfeld and A.D. Popov, 0704.0530 [hep-th] Noncommutative solitons in a supersymmetric chiral model in 2+1 dimensions, JHEP 0706 (2007) 065. [116] J. Escher, O. Lechtenfeld and Z. Yin, Well-posedness and blow-up phenomena for the 2-component Camassa–Holm equation, Discrete Cont. Dyn. Syst. A 19 (2007) 493–513. [117] E. Ivanov, O. Lechtenfeld and A. Sutulin, 0705.3064 [hep-th] Hierarchy of N=8 mechanics models, Nucl. Phys. B 790 [PM] (2008) 493–523. [118] O. Lechtenfeld, A.D. Popov and R.J. Szabo, 0706.0979 [hep-th] Quiver gauge theory and noncommutative vortices, Talk by O.L. at the 21st Nishinomiya-Yukawa Memorial Symposium, Nishinomiya/Kyoto, Japan, 11–15 Nov. 2006, Proceedings: Prog. Theor. Phys. Suppl 171 (2007) 258–268. [119] O. Lechtenfeld, 0707.3522 [hep-th] Supersymmetric noncommutative solitons, Talk at “Noncommutative Spacetime Geometries” in Alessandria, Italy, 26–31 March 2007, and “Noncommutative Geometry and Physics” in Orsay, France, 23–27 April 2007, Proceedings: Journal of Physics: Conference Series 103 (2008) 012016. [120] A. Galajinsky, O. Lechtenfeld and K. Polovnikov, 0708.1075 [hep-th] N=4 superconformal Calogero models, JHEP 0711 (2007) 008, and talk by O.L. at JINR workshop “Supersymmetries and Quantum Symmetries”, Dubna, Russia, 30 July–04 Aug. 2007, short version in the Proceedings: SQS ’07, pp. 176–185, Dubna preprint JINR E2-2008-83. [121] F. Delduc, O. Lechtenfeld and A.S. Sorin, 0708.1125 [nlin.SI] N=2 supersymmetric unconstrained matrix GNLS hierarchies are consistent, Lett. Math. Phys. 83 (2008) 109–122. [122] S. K¨urk¸c¨uo˘glu and O. Lechtenfeld, 0708.1310 [hep-th] Quantum aspects of the noncommutative sine-Gordon model, JHEP 0709 (2007) 020.

9 [123] I. Buchbinder, E. Ivanov, O. Lechtenfeld, I. Samsonov and B. Zupnik, 0709.3770 [hep-th] Gauge theory in deformed N=(1,1) superspace, Phys. Part. Nucl. 39 (2008) 759–797. [124] C. Gutschwager, T.A. Ivanova and O. Lechtenfeld, 0710.0079 [hep-th] Scattering of noncommutative waves and solitons in a supersymmetric chiral model in 2+1 dimensions, JHEP 0711 (2007) 052. [125] O. Lechtenfeld, 0710.2074 [hep-th] Noncommutative solitons, Talk at the Third Mexican Meeting on Mathematical and Experimental Physics, El Colegio Nacional in Mexico City, Mexico, 10–14 Sept. 2007, Proceedings: AIP conference proceedings vol. 977 (2008) 37–51. [126] S. Bellucci, S. Krivonos, O. Lechtenfeld and A. Shcherbakov, 0710.3832 [hep-th] Superfield formulation of nonlinear N=4 supermultiplets, Phys. Rev. D 77 (2008) 045026. [127] A. Galajinsky, O. Lechtenfeld and K. Polovnikov, 0802.4386 [hep-th] N=4 mechanics, WDVV equations and roots, JHEP 0903 (2009) 113. [128] S.V. Ketov and O. Lechtenfeld, 0803.2867 [hep-th] Non-anticommutative solitons, Phys. Lett. B 663 (2008) 353–359. [129] I.L. Buchbinder, O. Lechtenfeld and I.B. Samsonov, 0804.3063 [hep-th] N=4 superparticle and super Yang–Mills theory in USp(4) harmonic superspace, Nucl. Phys. B 802 (2008) 208–246. [130] O. Lechtenfeld, 0805.3245 [hep-th] WDVV solutions from orthocentric polytopes and Veselov systems, in: Problems of Modern Theoretical Physics,, ed. V. Epp, Tomsk State Pedagogical University Press, 2008, pp. 256–265. [131] T.A. Ivanova and O. Lechtenfeld, 0806.0394 [hep-th] Yang–Mills instantons and dyons on group manifolds, Phys. Lett. B 670 (2008) 91–94. [132] O. Lechtenfeld, A.D. Popov and R.J. Szabo, 0806.2791 [hep-th] SU(3)-equivariant quiver gauge theories and nonabelian vortices, JHEP 0808 (2008) 093. [133] J. Lenells and O. Lechtenfeld, 0809.0077 [nlin.SI] On the N=2 supersymmetric Camassa–Holm and Hunter–Saxton equations, J. Math. Phys. 50 (2009) 012704. [134] O. Lechtenfeld, 0811.0021 [hep-th] N=4 mechanics, WDVV equations and polytopes, Talk at the XVIIth International Colloquium on Integrable Systems and Quantum Symmetries, Prague, Czech Republic, 19–21 June 2008, and at the XXVII International Colloquium on Group Theoretical Methods in Physics, Yerevan, Armenia, 13–19 August 2008, Proceedings: [135] A. Fischer and O. Lechtenfeld, 0811.1048 [hep-th] The noncommutative sine-Gordon breather, J. Math. Phys. 50 (2009) 095201.

10 [136] I.L. Buchbinder, E. Ivanov, O. Lechtenfeld, N.G. Pletnev, I.B. Samsonov and B.M. Zupnik, ABJM models in N=3 harmonic superspace, 0811.4774 [hep-th] JHEP 0903 (2009) 096. [137] S. Fedoruk, E. Ivanov and O. Lechtenfeld, 0812.4276 [hep-th] Supersymmetric Calogero models by gauging, Phys. Rev. D 79 (2009) 105015. [138] S. Krivonos, O. Lechtenfeld and K. Polovnikov, 0812.5062 [hep-th] N=4 superconformal n-particle mechanics via superspace, Nucl. Phys. B 817 [PM] (2009) 265–283. [139] T.A. Ivanova, O. Lechtenfeld, A.D. Popov and T. Rahn, 0904.0654 [hep-th] Instantons and Yang–Mills flows on coset spaces, Lett. Math. Phys. 89 (2009) 231–247. [140] T. Ioannidou and O. Lechtenfeld, 0905.4077 [hep-th] Noncommutative baby Skyrmions, Phys. Lett. B 678 (2009) 508–511. [141] S. Fedoruk, E. Ivanov and O. Lechtenfeld, 0905.4951 [hep-th] OSp(4|2) superconformal mechanics, JHEP 0908 (2009) 081. [142] S. Krivonos and O. Lechtenfeld, 0906.2469 [hep-th] SU(2) reduction in N=4 supersymmetric mechanics, Phys. Rev. D 80 (2009) 045019. [143] A. Galajinsky and O. Lechtenfeld, 0907.2242 [hep-th] Harmonic N=2 mechanics, Phys. Rev. D 80 (2009) 065012. [144] O. Lechtenfeld and K. Polovnikov, 0907.2244 [hep-th] A new class of solutions to the WDVV equation, Phys. Lett. A 374 (2010) 540–506. [145] T. Hakobyan, S. Krivonos, O. Lechtenfeld and A. Nersessian, 0908.3290 [hep-th] Hidden symmetries of integrable conformal mechanical systems, Phys. Lett. A 374 (2010) 801–806. [146] D. Harland, T.A. Ivanova, O. Lechtenfeld and A.D. Popov, 0909.2730 [hep-th] Yang–Mills flows on nearly K¨ahler manifolds and G2-instantons, Commun. Math. Phys. 300 (2010) 185-204. [147] I.L. Buchbinder, E. Ivanov and O. Lechtenfeld, N.G. Pletnev, I.B. Samsonov and B.M. Zupnik, Quantum N=3, d=3 Chern-Simons matter theories in harmonic superspace, 0909.2970 [hep-th] JHEP 0910 (2009) 075. [148] S. Fedoruk, E. Ivanov and O. Lechtenfeld, 0912.3508 [hep-th] New D(2, 1; α) mechanics with variables, JHEP 1004 (2010) 129. [149] S. Fedoruk, E. Ivanov and O. Lechtenfeld, 1001.2536 [hep-th] New super Calogero models and OSp(4|2) superconformal mechanics, Talk by E.I. at the XIII International Conference “Symmetry Methods in Physics”, Dubna, Russia, 06–09 July 2009, Proceedings: [150] S. Krivonos, O. Lechtenfeld and A. Sutulin, 1001.2659 [hep-th] N=4 supersymmetry and the BPST instanton, Phys. Rev. D 81 (2010) 085021.

11 [151] O. Lechtenfeld and M. Maceda, 1001.3416 [hep-th] The noncommutative Ward metric, SIGMA 6 (2010) 045. [152] O. Lechtenfeld, A. Nersessian and V. Yeghikyan, 1005.0464 [hep-th] Action-angle variables for dihedral systems on the circle, Phys. Lett. A 374 (2010) 4647–4652. [153] I. Bauer, T.A. Ivanova, O. Lechtenfeld and F. Lubbe, 1006.2388 [hep-th] Yang–Mills instantons and dyons on homogeneous G2-manifolds, JHEP 1010 (2010) 044. [154] O. Lechtenfeld, C. N¨olle and A.D. Popov, 1007.0236 [hep-th] Heterotic compactifications on nearly K¨ahler manifolds, JHEP 1009 (2010) 074. [155] O. Lechtenfeld and M. Maceda, On the non-commutative CP 1 model, Talk by M.M. at the VIII Mexican School on Gravitation and Mathematical Physics, Playa del Carmen, Quintana Roo, Mexico, December 2009, Proceedings: AIP Conf. Proc. v. 1256 (2010) 208–212. [156] T. Hakobyan, O. Lechtenfeld, A. Nersessian and A. Saghatelian, 1008.2912 [hep-th] Invariants of the spherical sector in conformal mechanics, J. Phys. A: Math. Theor. 44 (2011) 055205. [157] O. Lechtenfeld, K. Schwerdtfeger and J. Th¨urigen, 1011.2207 [hep-th] N=4 multi-particle mechanics, WDVV equation and roots, SIGMA 7 (2011) 023. [158] S. Krivonos and O. Lechtenfeld, 1012.4639 [hep-th] Many-particle mechanics with D(2, 1; α) superconformal symmetry, JHEP 1102 (2011) 042. [159] O. Lechtenfeld and M. Maceda, The K¨ahler potential of the non-commutative CP1 model, Talk by M.M. at the IV Mexican Meeting on Experimental and Theoretical Physics, Mexico City, Mexico, July 2010, Proceedings: AIP Conf. Proc. v. 1318 (2010) 187–195. [160] T. Ioannidou and O. Lechtenfeld, Noncommutative baby skyrmions, Talk by T.I. at the Workshop on Noncommutative Field Theory and Gravity, Corfu, Greece, 08-12 September 2010, Proceedings: PoS CNCFG2010 (2010) 020. [161] A.S. Haupt, T.A. Ivanova, O. Lechtenfeld and A.D. Popov, 1104.5231 [hep-th] Chern–Simons flows on Aloff–Wallach spaces and Spin(7)-instantons, Phys. Rev. D 83 (2011) 105028. [162] O. Lechtenfeld and F. Toppan, 1105.4067 [hep-th] An N=8 superconformal particle in the half-plane, unpublished. [163] K.-P. Gemmer, O. Lechtenfeld, C. N¨olle and A.D. Popov, 1108.3951 [hep-th] Yang–Mills instantons on cones and sine-cones over nearly-K¨ahler manifolds, JHEP 1109 (2011) 103.

12 [164] P. Lavrov, O. Lechtenfeld and A. Reshetnyak, 1108.4820 [hep-th] Is soft breaking of BRST symmetry consistent?, JHEP 1110 (2011) 043. [165] T. Hakobyan, O. Lechtenfeld, A. Nersessian, A. Saghatelian and V. Yeghikyan, Integrable generalizations of oscillator and Coulomb systems via action-angle variables, Phys. Lett. A 376 (2012) 679–686. 1108.5189 [hep-th] [166] T. Hakobyan, O. Lechtenfeld and A. Nersessian, 1110.5352 [hep-th] The spherical sector of the Calogero model as a reduced matrix model, Nucl. Phys. B 858 (2012) 250–266. [167] S. Fedoruk, E. Ivanov and O. Lechtenfeld, 1112.1947 [hep-th] Superconformal mechanics, J. Phys. A: Math. Theor. 45 (2012) 173001. [168] O. Lechtenfeld, 1201.6390 [hep-th] Instantons and Chern–Simons flows in 6,7 and 8 dimensions, Talk at JINR workshop “Supersymmetries and Quantum Symmetries”, Dubna, Russia, 18–23 July 2011, Proceedings: Physics of Particles and Nuclei 43 (2012) 569-576. [169] T. Hakobyan, O. Lechtenfeld, A. Nersessian, A. Saghatelian and V. Yeghikyan, Action-angle variables and novel superintegrable systems, Talk by A.N. at JINR workshop “Supersymmetries and Quantum Symmetries”, Dubna, Russia, 18–23 July 2011, Proceedings: Physics of Particles and Nuclei 43 (2012) 577-582. [170] A. Chatzistavrakidis, O. Lechtenfeld and A.D. Popov, 1202.1278 [hep-th] Nearly K¨ahler heterotic compactifications with fermion condensates, JHEP 1204 (2012) 114. [171] K.-P. Gemmer, A.S. Haupt, O. Lechtenfeld, C. N¨olle and A.D. Popov, 1202.5046 [hep-th] Heterotic string plus five-brane systems with asymptotic AdS3, Adv. Theor. Math. Phys. 17 (2013) 771–827. [172] S. Fedoruk, E. Ivanov and O. Lechtenfeld, 1204.4474 [hep-th] Nahm equations in supersymmetric mechanics, JHEP 1206 (2012) 147. [173] M. Goffeng and O. Lechtenfeld, 1205.0020 [hep-th] Noncommutative deformation of the Ward metric, Talk by O.L. at the Workshop on Noncommutative Field Theory and Gravity, Corfu, Greece, 04–18 September 2011, Proceedings: PoS CORFU2011 (2011) 062. [174] O. Lechtenfeld and A.D. Popov, 1206.4128 [hep-th] Instantons on the six-sphere and twistors, J. Math. Phys. 53 (2012) 123506. [175] N. Kozyrev, S. Krivonos and O. Lechtenfeld, 1210.4587 [hep-th] N = 2 supersymmetric S2 → CP3 → S4 fibration viewed as superparticle mechanics, Talk by S.K. at the XXth Intern. Conference on Integrable Systems and Quantum Symmetries, Prague, Czech Republic, 17–23 June 2012, Proceedings: J. Phys.: Conference Series 411 (2013) 012019. [176] O. Lechtenfeld, Instantons and Chern–Simons flows in six and seven dimensions,

13 Talk at the Conference on Quantum Field Theory and Gravity ‘QFTG’12’ Tomsk, Russia, 31 July – 04 August, 2012, Tomsk State Pedagogical University Bulletin 128 (2012) 103-108. [177] S. Fedoruk, E. Ivanov and O. Lechtenfeld, Gauged N = 4 supersymmetric mechanics with spin supermultiplets, Talk by S.F. at the XXIX International Colloquium on Group-Theoretical Methods in Physics, Tianjin, China, 20–26 August 2012, Proceedings: World Scientific. [178] T.A. Ivanova, O. Lechtenfeld, A.D. Popov and M. Torm¨ahlen, 1302.5577 [hep-th] Instantons in six dimensions and twistors, Nucl. Phys. B 882 (2014) 205–218. [179] E. Ivanov, O. Lechtenfeld and B. Zupnik, 1303.5962 [hep-th] Auxiliary superfields in N = 1 supersymmetric self-dual electrodynamics, JHEP 1305 (2013) 133. [180] M. Gonzales, S. Khodaee, O. Lechtenfeld and F. Toppan, 1303.6732 [hep-th] Target duality in N = 8 superconformal mechanics and the coupling of dual pairs, J. Math. Phys. 54 (2013) 072902. [181] P.M. Lavrov and O. Lechtenfeld, 1305.0712 [hep-th] Field-dependent BRST transformations in Yang–Mills theory, Phys. Lett. B 725 (2013) 382–385. [182] P.M. Lavrov and O. Lechtenfeld, 1305.2931 [hep-th] Gribov horizon beyond the Landau gauge, Phys. Lett. B 725 (2013) 386–388. [183] M. Feigin, O. Lechtenfeld and A. Polychronakos, 1305.5841 [math-ph] The quantum angular Calogero–Moser model, JHEP 1307 (2013) 162. [184] A. Galajinsky and O. Lechtenfeld, 1306.5238 [math-ph] On two-dimensional integrable models with a cubic or quartic integral of motion, JHEP 1309 (2013) 113. [185] K.-P. Gemmer and O. Lechtenfeld, 1308.1955 [hep-th] Heterotic G2-manifold compactfications with fluxes and fermionic condensates, JHEP 1311 (2013) 182. [186] A.V. Domrin, O. Lechtenfeld, R. Linares and M. Maceda, 1308.6099 [hep-th] Exact BPS bound for noncommutative baby Skyrmions, Phys. Lett. B 727 (2013) 303–307. [187] T.A. Ivanova, O. Lechtenfeld, A.D. Popov and R.J. Szabo, 1310.3028 [hep-th] Orbifold instantons, moment maps and Yang–Mills theory with sources, Phys. Rev. D 88 (2013) 105026. [188] E. Ivanov, O. Lechtenfeld and B. Zupnik, 1310.5362 [hep-th] New approach to duality-invariant nonlinear electrodynamics, Talk by E.I. at the XXIst Intern. Conference on Integrable Systems and Quantum Symmetries, Prague, Czech Republic, 11–16 June 2013, Proceedings: J. Phys.: Conference Series 474 (2013) 012023. [189] N. Kozyrev, S. Krivonos, O. Lechtenfeld and A. Nersessian, 1311.4540 [hep-th] Higher-derivative N = 4 superparticle in three-dimensional spacetime, Phys. Rev. D 89 (2014) 045013.

14 [190] A. Chatzistavrakidis, L. Jonke and O. Lechtenfeld, 1311.4878 [hep-th] Dirac structures on nilmanifolds and coexistence of fluxes, Nucl. Phys. B 883 (2014) 59–82. [191] F. Correa, O. Lechtenfeld and M. Plyushchay, 1312.5749 [hep-th] Nonlinear supersymmetry in the quantum Calogero model, JHEP 1404 (2014) 151. [192] O. Lechtenfeld, 1312.6308 [hep-th] On the Gribov problem in Yang–Mills theory, Talk at JINR workshop “Supersymmetries and Quantum Symmetries”, Dubna, Russia, 29 July – 03 August 2013, Proceedings: Physics of Particles and Nuclei Letters 11 (2014) 830–835. [193] T. Hakobyan, D. Karakhanyan and O. Lechtenfeld, 1402.2288 [hep-th] The structure of invariants in conformal mechanics, Nucl. Phys. B 886 (2014) 399–420. [194] S. Bunk, T.A. Ivanova, O. Lechtenfeld, A.D. Popov and M. Sperling, 1407.2948 [hep-th] Instantons on sine-cones over Sasakian manifolds, Phys. Rev. D 90 (2014) 065028. [195] S. Bunk, O. Lechtenfeld, A.D. Popov and M. Sperling, 1409.0030 [hep-th] Instantons on conical half-flat 6-manifolds, JHEP 1501 (2015) 30. [196] A.S. Haupt. O. Lechtenfeld and E.T. Musaev, 1409.0548 [hep-th] Order α’ heterotic domain walls with warped nearly K¨ahler geometry, JHEP 1411 (2014) 152. [197] T. Hakobyan, O. Lechtenfeld and A. Nersessian, 1409.8288 [hep-th] Superintegrability of (generalized) Calogero models with oscillator or Coulomb potential, Phys. Rev. D 90 (2014) 101701(R). [198] K. Anagnostopoulos, O. Lechtenfeld, D. L¨ust, H. Kawai, J. Nishimura, H. Steinacker, R. Szabo, S. Watamura and G. Zoupanos (eds.), Workshop on Noncommutative Field Theory and Gravity (CORFU2013-NC), Proceedings of the Workshop in Corfu, Greece, 08–15 September 2013, Fortsch. Phys. 62 (2014) issue 9-10, pp. 703–897. [199] A. Deser. O. Lechtenfeld and A.D. Popov, 1412.4258 [hep-th] Sigma-model limit of Yang–Mills instantons in higher dimensions, Nucl. Phys. B 894 (2015) 361. [200] O. Lechtenfeld, A.D. Popov and R.J. Szabo, 1412.4409 [hep-th] Sasakian quiver gauge theories and instantons on Calabi–Yau cones, Adv. Theor. Math. Phys. 20 (2016) 821–882. [201] E. Ivanov, O. Lechtenfeld and B. Zupnik, 1412.5960 [hep-th] Auxiliary tensor fields for Sp(2,R) self-duality, JHEP 1503 (2015) 123. [202] O. Lechtenfeld and A.D. Popov, 1505.05448 [hep-th] Yang–Mills moduli space in the adiabatic limit, J. Phys. A: Math. Theor. 48 (2015) 425401. [203] A. Chatzistavrakidis, L. Jonke and O. Lechtenfeld 1505.05457 [hep-th] Sigma models for genuinely non-geometric backgrounds, JHEP 1511 (2015) 182.

15 [204] O. Lechtenfeld, A.D. Popov, A. Sperling and R.J. Szabo 1506.02786 [hep-th] Sasakian quiver gauge theories and instantons on cones over lens 5-spaces, Nucl. Phys. B 899 (2015) 848–902. [205] F. Correa and O. Lechtenfeld 1508.04925 [hep-th] The tetrahexahedric angular Calogero model, JHEP 1510 (2015) 191. [206] O. Lechtenfeld and A.D. Popov 1508.06325 [hep-th] Supermembrane limit of Yang–Mills theory, J. Math. Phys. 57 (2016) 023520. [207] O. Lechtenfeld and S. Nampuri 1509.03256 [hep-th] A Calogero formulation for four-dimensional black-hole micro states, Phys. Lett. B 753 (2016) 263–267. [208] O. Lechtenfeld 1511.07491 [physics.class-ph] On asteroid engineering, GJSFR Volume 16 Issue 2 Year 2016, pp. 1-12. [209] N. Kozyrev, S. Krivonos and O. Lechtenfeld 1601.01906 [hep-th] Higher-derivative superparticle in AdS3 space, Phys. Rev. D 93 (2016) 065014. [210] J.C. Geipel, O. Lechtenfeld, A.D. Popov and R.J. Szabo 1601.05719 [hep-th] Sasakian quiver gauge theories and instantons on the conifold, Nucl. Phys. B 907 (2016) 445–475. [211] F. Correa, T. Hakobyan, O. Lechtenfeld and A. Nersessian 1604.00026 [hep-th] Spherical Calogero model with oscillator/Coulomb potential: classical case, Phys. Rev. D 93 (2016) 125008. [212] F. Correa, T. Hakobyan, O. Lechtenfeld and A. Nersessian 1604.00027 [hep-th] Spherical Calogero model with oscillator/Coulomb potential: quantum case, Phys. Rev. D 93 (2016) 125009. [213] F. Correa and O. Lechtenfeld 1604.06457 [hep-th] The tetrahexahedric Calogero model, Talk by O.L. at JINR workshop “Supersymmetries and Quantum Symmetries”, Dubna, Russia, 03–08 August, 2015, Proceedings: Physics of Particles and Nuclei Letters 14 (2017) 304–311. [214] A. Galajinsky and O. Lechtenfeld 1606.05230 [hep-th] Superconformal SU(1, 1|n) mechanics, JHEP 1609 (2016) 114. [215] S. Krivonos, O. Lechtenfeld and A. Sorin 1607.03756 [hep-th] Minimal realization of ℓ-conformal Galilei algebra, Pais–Uhlenbeck oscillators and their defor- mation, JHEP 1610 (2016) 078. [216] O. Lechtenfeld and A.D. Popov 1608.05331 [hep-th] Superstring limit of Yang–Mills theories, Phys. Lett. B 762 (2016) 309–314. [217] E. Ivanov, O. Lechtenfeld and S. Sidorov 1609.00490 [hep-th] SU(2|2) supersymmetric mechanics, JHEP 1611 (2016) 031.

16 [218] F. Correa and O. Lechtenfeld The tetrahexahedric angular Calogero model, Talk by O.L. at the XXIVth Intern. Conference on Integrable Systems and Quantum Symmetries, Prague, Czech Republic, 14-18 June 2016, Proceedings: J. Phys.: Conf. Series 804 (2017) 012011. [219] S. Krivonos, O. Lechtenfeld and A. Sorin 1612.07832 [hep-th] Hidden symmetries of deformed oscillators, Nucl. Phys. B 924 (2017) 33–46. [220] T.A. Ivanova, O. Lechtenfeld and A.D. Popov 1704.07456 [hep-th] Solutions to Yang–Mills equations on four-dimensional de Sitter space, Phys. Rev. Lett. 119, 061601 (2017). [221] F. Correa and O. Lechtenfeld Calogero, spherically reduced and PT -deformed, Talk by O.L. at the Ringberg Meeting on Geometry and Physics, Schloss Ringberg, Germany, 20-25 November 2016, Proceedings: PoS Corfu2016 (2016) 095. [222] F. Correa and O. Lechtenfeld 1705.05425 [hep-th] PT deformation of angular Calogero models, JHEP 1711 (2017) 122. [223] J.C. Geipel, O. Lechtenfeld, A.D. Popov and R.J. Szabo 1706.07383 [hep-th] Sasakian quiver gauge theories and instantons on cones over round and squashed seven-spheres, Nucl. Phys. B 942 (2019) 103. [224] T.A. Ivanova, O. Lechtenfeld and A.D. Popov 1708.06361 [hep-th] Finite-action solutions of Yang–Mills equations on de Sitter dS4 and anti-de Sitter AdS4 spaces, JHEP 1711 (2017) 017. [225] N. Kozyrev, S. Krivonos, O. Lechtenfeld, A. Nersessian and A. Sutulin 1710.00884 [hep-th] Curved WDVV equation and N = 4 mechanics, Phys. Rev. D 96 (2017) 101702. [226] N. Kozyrev, S. Krivonos, O. Lechtenfeld, A. Nersessian and A. Sutulin Curved WDVV equation and supersymmetric mechanics, Talk by S.K. at the XXVth Intern. Conference on Integrable Systems and Quantum Symmetries, Prague, Czech Republic, 06-10 June 2017, Proceedings: J. Phys.: Conf. Series 965 (2018) 012026. [227] N. Kozyrev, S. Krivonos, O. Lechtenfeld, A. Nersessian and A. Sutulin 1711.08734 [hep-th] N = 4 supersymmetric mechanics on curved spaces, Phys. Rev. D 97 (2018) 085015. [228] O. Lechtenfeld and G. Zhilin 1711.11144 [hep-th] A new construction of rational electromagnetic knots, Phys. Lett. A 382 (2018) 1528. [229] N. Kozyrev, S. Krivonos, O. Lechtenfeld and A. Sutulin 1712.09898 [hep-th] SU(2|1) supersymmetric mechanics on curved spaces, JHEP 1805 (2018) 175. [230] S. Fedoruk, E. Ivanov, O. Lechtenfeld and S. Sidorov 1801.00206 [hep-th] Quantum SU(2|1) supersymmetric Calogero–Moser spinning systems, JHEP 1804 (2018) 043.

17 [231] T.A. Ivanova, O. Lechtenfeld and A.D. Popov Pure Yang–Mills solutions on dS4, Talk by O.L. at JINR workshop “Supersymmetries and Quantum Symmetries”, Dubna, Russia, 31 July – 05 August 2017, Proceedings: Physics of Particles and Nuclei Letters (2018); and at Workshop on “Testing Fundamental Physics Principles”, Corfu, Greece, 22–28 September 2017, Proceedings: PoS CORFU2017 (2017) . [232] T.A. Ivanova, O. Lechtenfeld and A.D. Popov 1803.07322 [hep-th] Non-Abelian sigma models from Yang–Mills theory compactified on a circle, Phys. Lett. B 781 (2018) 322. [233] S. Krivonos, O. Lechtenfeld and A. Sutulin 1804.10825 [hep-th] N -extended supersymmetric Calogero models, Phys. Lett. B 784 (2018) 137. [234] T.A. Ivanova, O. Lechtenfeld and A.D. Popov 1805.07241 [hep-th] Skyrme model from 6d N = (2,0) theory, Phys. Lett. B 783 (2018) 222. [235] O. Lechtenfeld and G¨on¨ul Unal¨ 1807.03914 [hep-th] Yang–Mills solutions on de Sitter space of any dimension, Phys. Rev. D 98 (2018) 085008. [236] O. Lechtenfeld and A.D. Popov 1807.11803 [hep-th] Skyrme–Fadeev model from 5d super–Yang-Mills, Phys. Lett. B 786 (2018) 39. [237] E. Ivanov, O. Lechtenfeld and S. Sidorov 1807.11804 [hep-th] Deformed N = 8 mechanics of (8,8,0) multiplets, JHEP 1808 (2018) 193. [238] O. Lechtenfeld and A.D. Popov 1808.08972 [hep-th] Skyrme and Faddeev models in the low-energy limit of 4d Yang–Mills–Higgs theories, Nucl. Phys. B 945 (2019) 114675. [239] O. Lechtenfeld and A.D. Popov 1811.03649 [hep-th] Dual infrared limits of 6d N = (2,0) theory, Phys. Lett. B 793 (2019) 297. [240] S. Krivonos, O. Lechtenfeld and A. Sutulin Extended supersymmetric multiparticle Euler–Calogero–Moser model, Talk by A.S. at “32nd Intern. Colloquium on Group Theoretical Methods in Physics (Group32)”, Prague, Czech Republic, 09–13 July 2018; Proceedings: J. Phys.: Conf. Series 1194 (2019) 012062. [241] O. Lechtenfeld and G. Zhilin Rational Maxwell knots via de Sitter space, Talk by O.L. at “32nd Intern. Colloquium on Group Theoretical Methods in Physics (Group32)”, Prague, Czech Republic, 09–13 July 2018, Proceedings: J. Phys.: Conf. Series 1194 (2019) 012068. [242] O. Lechtenfeld and G. Zhilin A new construction of rational electromagnetic knots, Talk by O.L. at “Workshop on Duality and Generalized Geometries”, Corfu, Greece, 09–16 September 2018; Proceedings: PoS CORFU2018 (2018) 149.

18 [243] S. Krivonos, O. Lechtenfeld and A. Sutulin 1812.03530 [hep-th] Supersymmetric many-body Euler–Calogero–Moser model, Phys. Lett. B 790 (2019) 191. [244] S. Krivonos, O. Lechtenfeld, A. Provorov and A. Sutulin 1812.10168 [hep-th] Extended supersymmetric Calogero model, Phys. Lett. B 791 (2019) 385. [245] E. Ivanov, O. Lechtenfeld and S. Sidorov Deformed N = 8 supersymmetric mechanics, Symmetry 2019, 11, 135; in a special issue ”Supersymmetric Field Theory 2018”. [246] A. Galajinsky and O. Lechtenfeld 1902.06851 [hep-th] Spinning extensions of D(2, 1; α) superconformal mechanics, JHEP 1903 (2019) 069. [247] S. Fedoruk, E. Ivanov and O. Lechtenfeld 1902.08023 [hep-th] Supersymmetric hyperbolic Calogero-Sutherland models by gauging, Nucl. Phys. B 944 (2019) 114633. [248] F. Correa and O. Lechtenfeld 1903.06481 [hep-th] PT deformations of Calogero–Sutherland models, JHEP 1905 (2019) 166. [249] S. Krivonos, O. Lechtenfeld and A. Sutulin 1912.05989 [hep-th] New N = 2 superspace Calogero models, JHEP 2005 (2020) 132. [250] O. Lechtenfeld From Yang–Mills in de Sitter space to electromagnetic knots, Talk at JINR workshop “Supersymmetries and Quantum Symmetries”, Yerevan, Armenia, 26–31 August, 2019; Proceedings: Physics of Particles and Nuclei Letters 17 (2020) 701-706. [251] E. Ivanov, O. Lechtenfeld and S. Fedoruk 2001.04873 [hep-th] Supersymmetric Calogero models from superfield gauging, Talk by E.I. at the Bogolyubov Conference “Problems of Theoretical and Mathematical Physics”, Moscow-Dubna, Russia, 9–13 September 2019; Proceedings: [252] K. Kumar and O. Lechtenfeld 2002.01005 [hep-th] On rational electromagnetic fields, Phys. Lett. A 384 (2020) 126445. [253] S. Krivonos and O. Lechtenfeld 2002.03929 [hep-th] N = 4 supersymmetric Calogero–Sutherland models, Phys. Rev. D 101 (2020) 086010. [254] S. Krivonos and O. Lechtenfeld 2005.06484 [hep-th] On N = 2 supersymmetric Ruijsenaars–Schneider models, Phys. Lett. B 807 (2020) 135545. [255] S. Ananth, O. Lechtenfeld, H. Malcha, H. Nicolai, C. Pandey and S. Pant, 2005.12324 [hep-th] Perturbative linearization of supersymmetric Yang–Mills theory, JHEP 2010 (2020) 199. [256] F. Carrillo–Morales, F. Correa and O. Lechtenfeld, 2101.07274 [hep-th] Integrability, intertwiners and non-linear algebras in Calogero models, JHEP 2105 (2021) 163.

19 [257] K. Kumar, O. Lechtenfeld and G. Pican¸co Costa, 2102.08410 [hep-th] Instability of cosmic Yang–Mills fields,

[258] O. Lechtenfeld, 2102.13534 [hep-th] Electromagnetic knots from de Sitter space, Talk at RDP online workshop “Recent Advances in Mathematical Physics” - Regio2020, Yerevan, Armenia, 06 December 2020; Proceedings: PoS Regio2020 (2020) 011. [259] N. Kozyrev, S. Krivonos and O. Lechtenfeld, 2103.02925 [hep-th] New approach to N = 2 supersymmetric Ruijsenaars–Schneider model, Talk by N.K. at RDP online workshop “Recent Advances in Mathematical Physics” - Regio2020, Yerevan, Armenia, 06 December 2020; Proceedings: PoS Regio2020 (2020) 018. [260] O. Lechtenfeld and M. Rupprecht, 2104.00012 [hep-th] Universal form of the Nicolai map, Phys. Rev. D 104 (2021) L021701. [261] J. Cork, E.S¸. Kutluk, O. Lechtenfeld and A.D. Popov, 2104.02075 [hep-th] A low-energy limit of Yang–Mills theory on de Sitter space,

[262] O. Lechtenfeld and M. Rupprecht, 2104.09654 [hep-th] Construction method for the Nicolai map in supersymmetric Yang–Mills theories, Phys. Lett. B 819 (2021) 136413. [263] F. Correa and O. Lechtenfeld, 2106.05428 [hep-th] Algebraic integrability of PT -deformed Calogero models, Contribution to the virtual seminar series on PHHQP; Proceedings: Journal of Physics, Conference Series

20