BIO- DATA Name: Muthuswamy Sivakumar Designation: Professor

Office Address School of Physics Central University Gachibowli Hyderabad-500046 Phone: 0091-40-23134354(off) Fax: 0091-40-23010227 Home Address Mobile : 9989777871 779,Station IV, Email: [email protected] Aliens Space station [email protected] Gachibowli Tellapur Hyderabad 502032 INDIA Personal

Born on September 25, 1956. Indian Citizen. Married and one son

Education

BSc (Physics), Pachiayappas College, University of Madras-1977. MSc(Physics), Presidency College,University of Madras-1979. Ph.D.(Physics),Department of Theoretical Physics,University of Madras- 1987. Supervisor: Prof P.M.Mathews

Employment

Post-Doctoral Fellow: Institute of Mathematical Sciences--1987- 1989. Post-Doctoral Fellow: S.N.Bose National center for Basic Sciences-Kolkuta:1989- 1990 Lecturer: University of Hyderabad-1990-1996 Reader: University of Hyderabad-1996-2004 CV of M.SIVAKUMAR 2

Professor:University of Hyderabad-2004- .

Awards / Honors

Fellow of Andhra Pradesh Akademi of Sciences, 2012 Fellow of Akademi of Sciences, 2014 Associate member,Abdus Salam International Center for Theoretical Physics,Trieste, Italy: 1998-2003

INSA Visiting fellow,(1994)

Senior Associate member, Institute of Mathematical Sciences,Chennai

Associate Member,S.N.Bose National Center for Basic Sciences,Kolkuta

Visiting Associate ,Inter University Consotorium for Asronomy and as- trophysics.

Editorial Board : Journal of Physics Education until-2012 Expert member, DST -Women Scientist Scheme Member : Board of Stud- ies, University of Madras-2014-2017

Administrative positions held

Warden, Mens Hostel(1992-94),(1998-2004) General Secretary , University of Hyderabad Faculty Club President, University of Hyderabad Teachers Association School Board member, Center for Integrated Studies, University of Hy- derabad

Project

1) DST sponsored project,"Field theoretical studies on Quantum Hall effect" 1998 - 2003 (completed) CV of M.SIVAKUMAR 3

2) Minor Research Project , " Studies on Bose-Fermi Equivalence in 2+1 dimension "-1994-95 (completed)

3) Studies on "Massless and Massive Higher spin gauge theories",DST project- 2005-2009(completed) 4)Studies on Emergent gravity and noncommutative gauge theory,DST project -2010-2013 completed

Physics Education

:

Chief Coordinator for "Physics Training and Talent Search (PTTS )" -2015 at Kuvempu University from Dec-18- 31, 2015. I am an initiator of this program planned to be held regularly. Director of SERC Main school on Theoretical High Energy Physics conducted from Jan-18 to Feb-7,2007. Director for SERC-Preparatory School on Theoretical High Energy Physics conducted from Nov-18 to Dec-7, 2003

As a General Secretary of Indian Physics Association, I conducted quiz competitions in Physics and Astronomy , for schools and Col- leges in the twin cities for two consecutive years in BM Birla Audito- rium. I have also arranged several talks by distinguished speakers.

I have organized a One-Day workshop for School teachers on teach- ing Physics as a part of celebration of World Year of Physics-2005, School of Physics.

Visits abroad

: Visited International Center for Theoretical Physics,Trieste,Italy sev- eral times for a period ranging from 4-6 weeks. Brief Visits: University of Paris,Orsay, Humbolt University Berlin, Niels Bohr Institute Copenhagen, University of Stockholm, Univer- sity of Tours(France) and given seminars. Visited Albert Einstein Institute on gravitational physics,Postdam(Germany)- May-July,2008, 2010.2013 for a period ranging from 4-6 weeks. CV of M.SIVAKUMAR 4

Visited Center for Quantum Spacetime,Seoul as Visiting professor Sep-2008 for 2 weeks Visited Sao Paulo University Nov-Dec,2008 for 2 months. Visited PN Lebedev Physical Institute ,Moscow June 2011 for 10 days. Visited Galileo Galili Institute for Theoretical Physics-April-May(2013) for 2 months.

Recent Talks

Invited Talk Higher Spins in external field:Talk in International Confer- ence on Quantum Field theory at BHU,Varnasi-Nov-2014.

Colloquium: Higher spin theories: From Dirac to Vasiliev 1. HRI,Allahabad Jan-30,2015,

2. Institute of Physics, Bhubaneswar,Feb-24,2015.

Seminar: Higher spin theories: Past,Present and Future 1. Cochin University -July,23,2015 2. TIFR, ,March-4,2015, 3. School of Physical Sciences,JNU,Jan-28,2015, 4. Inst of Mathematical Science,Chennai,Dec-2,2014, 5. Raman Research Institute, , Nov-26,2014, 6. CHEP, IISc, Bangalore, Oct-9,2015, 7. IISER,Pune,Sept-09-2015, 8. PRL,Ahmedabad Sept-04,2015. Higher Spin theories:Yesterday,Today and Tomorrow IGCAR,Kalpakkam,Dec-9,2014 Lectures: A first introduction to Vasiliev equations

1. Institute of Mathematical Sciences-Dec-04-2014, 2. Institute of Physics,Bhubaneswar, Feb-26,2015. CV of M.SIVAKUMAR 5

Students Produced

PhD Students: TWO a)E.Harikumar :(2002),current position: Associate Professor, School of Physics,University of Hyderabad b)K.M.Ajith: (2008),current position: Lecturer, National Institute of Technology, Mangalore M.Phil Students: Six MSc Projects: ten

Summary of Research achievement

1 Higher Spin gauge theories

Massive theories by Dimensional reduction

A general method for obtaining massive theories from massless theories was formulated. The method is to apply dimensional reduction of a massless theory from 5dimension to get a 4 dimensional theory.This was demonstrated initially for spins upto 3, which was later generalised to arbitrary spins and from d + 1 to d dimensions. This method, which is now routinely adopted, was part of my PhD thesis.

A solution for External field consistency problem

Spin 3/2 particles in external fields is known to have pathological fea- tures at classical and quantum level: acausal propagation (Velo-Zwanziger), indefinite norm at quantum level(Johnson-Sudharshan). Both the long standing problems were shown to have a solution , by Kaluza-Klein di- mensional reduction of massless spin 3/2 Rarita-Schwinger theory. By explicit computation , the absence of these pathologies were demon- strated for Rarita-Schwinger theory. This work also formed part of my PhD thesis. This solution to the long standing problem of higher spin theory is quoted in a Textbook on quantum field theory by the Nobel Prize winner S.Weinberg .Ref: "Quantum Theory of Fields" Vol. I Cambridge University Press (1998 print- ing), page 258. CV of M.SIVAKUMAR 6

Dual spin-2 theory

Dual relation between of massless p-form theories in d dimensions are well known.Spin -2 theory is described by symmetric tensor and its dual formulation was constructed .The dual d-dimensional action, which was made of mixed symmetric tensor gauge field, was derived from linear graviton theory. This free dual theory was shown to have the features expected of duality.

Higher spin theory in 2+1 dimension

A 2+1 dimensional spin-s theory ( which is 2+1 Bhabha equation) was shown to be equivalent to a Non linear sigma model with a topological term, which is a dual equivalence. Noether current of spin-s theory and topological current of sigma model was shown to be equivalent at level of correlation function. This also related anyons in the Sigma model to particle with spin s.This work has appeared in Physical Review Letters

2 Bosanisation in 2+1 dimension

Equivalence between a Bosonic and a Fermionic theory in 1+1 dimen- sion is well-known. This Bose-Fermi equivalence to was extended to 2+1 dimension. A Bosonic field theory, viz, a scalar field coupled with gauge field governed by Chern-Simons term was shown to be equivalent to Free Dirac theory . Explicit construction of Fermionic field in terms of Bosonic field, leading to Dirac propagator was demonstrated. Extension to interacting scalar field was shown to give interacting fermionic the- ory, with parameters of both the theories related, at a cut-off dependent level. The importance of this work are: 1)Identification of Free fermion theory with a Bosonic model is an important result.This should be compared with Schwinger model in 1+1 dimension, where also free fermions was identified with a Bosonic model. 2)The field which creates Fermion and provides the correct correlation function with anti-symmetry , was constructed explicitly in terms of Bosonic field. This is found to be a gauge invariant combination of the matter field.Especially the gauge field which correctly reproduces spin degree of freedom of the Fermion was identified. This construction should be compared with Mandel- stram construction in 1+1 dimension. 3) This work is a re expressing of a gauge theory in terms of gauge invariant variables as a local field theory. CV of M.SIVAKUMAR 7

This work has been cited by Seiberg and Witten recently in arXiv:1606.01989.

3 Fractional quantum Hall effect(FQHE)

An explicit relation between Laughlin wave function and one dimen- sional system was shown.Calagero model of types AN, BN, BCN , were shown to be solved by applying supersymmetric quantum mechanics methods. Hydrodynamic formulation to FQHE at Jain fraction was given, apply- ing Chern-Simons field gauge term. Jain wave function was obtained from field theoretical method. Operators creating excited states were constructed out of hydrodynamic variables.

4 Topologically Massive gauge theories

Topologically massive gauge theory with 2-form gauge field was shown to be related by dual formulation to two Stuckelberg formulation of spin-one theory in 3+1 dimensions. This study was done in Hamilto- nian formulation using BFT method and also covariantly.Non abelian generalization of this was also studied.

5 Noncommutative spacetime

A two form gauge theory was constructed on Moyal spacetime, which has a structure of non-abelian gauge theory.Seiberg-Witten map for this new gauge theory was constructed.Extension of duality equivalence , emergent gravity coupling structure was studied and analysed. Bose- Fermi equivalence studied in commutative case was extended for Non- commutative spacetime .The Fermionic theory was found to be non local theory.A Dirac equation applicable for kappa deformed space time was introduced and studied for low energy effects.

6 3d Black holes

Quasinormal mode study of warped black holes in AdS3 was studied. CV of M.SIVAKUMAR 8

7 Emergent gravity

: Generally gravity is considered as one of the fundamental forces.This textbook statement is currently been disputed and efforts are on to un- derstand gravity as emerging from something more fundamental. More concretely can spacetime , fluctuating geometry and gravity emerge from matrix models?A novel mass-deformed IKKT model has been shown to provide constant curvature space and fluctuating geometry

8 Physics Education

I am interested in writing pedagogical articles. I have written a peda- gogic article summarizing basic concept behind Renormalization group for Physics Education Journal. I hope to extend it.

I have, along with other colleagues, initiated a training program for Col- lege and University students called "Physics Training and Talent Search (PTTS)" program.

9 Current Interests

1. Higher Spin Fields: There are interesting approaches to get Higgs mechanism for massive higher spin fields from higher dimensional AdS space by dimensional reduction. I am attempting to under- stand and generalize it. 2. Quantum Hall Effect: There are interesting developments proposing Hall Viscosity as generalization of Quantum Hall effect.Presently I am interested to understand this deeper. Also Bose-Fermi duality studied earlier has a resurgence of interest in the context of Quan- tum Hall effect and I wish to understand it.

Books

"Surveys in Theoretical High Energy Physics 2:Lecture Notes from SERC Schools": Edited by Raghavan Rangarajan and M.Sivakumar: Hindustan Publishers Published in 2014. CV of M.SIVAKUMAR 9

List of Publications

Citations and h-index taken from Google Scholar:

Total Citations:552 h-index:14

1. Physics training and talent search programme-R.Rangarajan,G.Rajasekharan, S.V.Satyanarayana,M.Sivakumar,and Sudha Shenoy - CURRENT SCIENCE, VOL. 111, NO. 3, 10 AUGUST 2016 2. LRS Bianchi type-I cosmological model in f (R, T) theory of grav- ity with Λ(T) PK Sahoo, M Sivakumar . Astrophysics and Space Science 357 (1), 2015, 1-12 Citations:20 3. Book Review of "Einstein and the Quantum: The Quest of the Valiant Swabian by A. Douglas Stone" Current Science:107, 53, 2014. 4. Consistent Non-Minimal Couplings of Massive Higher-Spin Par- ticles Ignacio Cortese, Rakibur Rahman, M. Sivakumar hepth-13077710 Nuclear Physics -B , vol879, pages 143, 2014-Citations: 11 5. Basics of Renormalisation group: Divide and conquerM.Sivakumar Journal of Physics Education, Vol,(28),9, 2012. 6. Kappa deformed Dirac equation E. Harikumar , M. Sivakumar and N.Srinivas(Hyd Univ) Modern Phys Lett A(26),1103-1115,2011.Citations:13 7. Emergent geometry from Quantized Spacetime Hyun Seok Yang (KIAS), M. Sivakumar(Hyd.Univ) arXiv:0908.2809 (Physical Review D 82, 045004 (2010)) Citations: 14 8. Quasinormal modes,holography and warped BTZ blackhole Kumar Gupta, E.Harikumar,Siddhartha Sen and M.Sivakumar (Classical and Quantum Gravity 27 (2010) 165012 (7pp) )arXiv:0912.3584 9. Central charge for Warped AdS3 Black holes Kumar Gupta, E.Harikumar,Siddhartha Sen and M.Sivakumar ( Mod.Phys.Lett- A Vol. 25, No. 24 (2010) 2065 - 2070 ) 10. Bose-Fermi equivalence in three dimensional non-commutative space-time. Ajith K M, E. Harikumar, M. Sivakumar Mod.Phys.LettA23, 3015-3022, 2008 11. Aspects of Noncommutative Scalar/Tensor Duality K. M. Ajith, E. Harikumar, Victor O. Rivelles, M. Sivakumar PhysRevD77,085010, 2008 CV of M.SIVAKUMAR 10

12. Dual linearised gravity in arbitrary dimension. Ajith. K. M, E. Harikumar, M. Sivakumar Class. Quantum Grav. 22 (2005) 5385-5395. Citations:18 13. Dual linear gravity from Buschers construction in D dimensions. Ajith. K. M, E. Harikumar, M. Sivakumar ; Presented in DAE -HEP Symposium ÐKolkutta Nov- 2004 14. Hamiltonian versus Lagrangian embedding of a massive spin one theory involving two form field. E. Harikumar, M. Sivakumar (Hyderabad U.), Int.J.Mod.Phys.A17: 405-416,2002Citations: 15. Born-Infeld Chern-Simons theory: Hamiltonian embedding, du- ality and bosonization E. Harikumar (Hyderabad U.), Avinash Khare (Bhubaneswar, Inst. Phys.), M. Sivakumar (Hyderabad U.), Prasanta K. Tripathy (Bhubaneswar, Inst. Phys.) Nucl.Phys.B618:570-588,2001 .Citations:12 16. Topologically massive nonabelian gauge theories:constraints and deformations. E. Harikumar (Hyderabad U.), Amitabha Lahiri (Bose Natl. Ctr., Kolkata), M. Sivakumar (Hyderabad U.).Citations: 18 Phys.Rev.D63:105020,2001 17. The Hydrodynamical limit of quantum Hall system. D. Sreedhar Babu, R. Shankar (IMSc, Chennai), M. Sivakumar (Hy- derabad U.). Int.J.Mod.Phys.B152771-2782,2001 18. Hodge decomposition theorem for Abelian two form gauge the- ory. E. Harikumar (Hyderabad U.), R.P. Malik (Bose Natl. Ctr., Kolkata), M. Sivakumar (Hyderabad U.), J.Phys.A33:7149-7164,2000 Citations: 55 19. On the equivalence between topologically and nontopologically massive Abelian gauge theories E. Harikumar, M. Sivakumar (Hyderabad U.),. Nov 1999. Mod.Phys.Lett.A15:121-132,2000 Citations:13 20. Topologically massive Abelian gauge theory from BFT Hamilto- nian embedding of a first order theory. E. Harikumar, M. Sivakumar (Hyderabad U.),. Apr 1999. Nucl.Phys.B565:385-396,2000, Citations: 28 CV of M.SIVAKUMAR 11

21. Supersymmetry, shape invariance and solvability of A(N-1) and BC(N) Calogero-Sutherland model. Pijush K. Ghosh (Harish-Chandra Res. Inst.), Avinash Khare (Bhubaneswar, Inst. Phys.), M. Sivakumar (Hyderabad U.). Phys.Rev.A58:821-825,1998: Citations:36 22. Chiral solitons in a current coupled Schrodinger equation with selfinteraction E. Harikumar, C. Nagaraja Kumar, M. Sivakumar (Hyderabad U.) Phys.Rev.D58:107703,1998, 23. Duality and massive gauge invariant theories. E. Harikumar, M. Sivakumar (Hyderabad U.),. Apr 1996. 11pp. Phys.Rev.D57:3794,1998 Citations:31 24. On the W algebra in the Calogero-Sutherland model using the exchange operators V. Narayanan, M. Sivakumar (Hyderabad U.),. Oct 1995. 13pp. Mod.Phys.Lett.A11:763-774,1996 25. Laughlin wave function and one-dimensional free fermions. By Prasanta K. Panigrahi, M. Sivakumar (Hyderabad U.). Physical Review B-vol 52 13742 (1995) Citations:15 26. O(3) nonlinear sigma model with Hopf term and higher spin the- ories. . By T.R. Govindarajan, R. Shankar (IMSc, Chennai), N. Shaji (Trivandrum, CDIT), M. Sivakumar (Hyderabad U.). Int.J.Mod.Phys.A8:3965-3992,1993 Citations:07 27. On Bose-Fermi equivalence in (2+1)-dimensions. By M. Sivakumar (Bose Inst., Kolkata),. 1990. In *Bombay 1990/ Proceedings, Modern quantum field theory* 440-449. (see HIGH ENERGY PHYSICS INDEX 29 (1991) No. 13246). 28. Is the O(3) sigma model with the Hopf term exactly equivalent to a higher spin theory? T.R. Govindarajan, R. Shankar (IMSc, Chennai), N. Shaji (Trivan- drum, CDIT), M. Sivakumar (Hyderabad U.), Phys.Rev.Lett.69:721-724,1992 Citations;10 29. Exact equivalence of the (2+1)-dimensional O(3) nonlinear sigma model with the Hopf term to a four fermi model. R. Shankar (Indian Inst. Tech., Kanpur), M. Sivakumar (Hyderabad U.),. IITK-PHY- 91-03 30. Bose-Fermi transmutation in (2+1)-dimensions: Effect of selfin- teractions and the Maxwell term. R. Shankar (Indian Inst. Tech., Kanpur), M. Sivakumar (Hyderabad U.),. IITK-PHY- 91-02 Mod.Phys.Lett.A6:2379-2388,1991 Citations;10 CV of M.SIVAKUMAR 12

31. Fermionization of selfinteracting charged scalar fields coupled to Abelian Chern-Simons gauge fields in (2+1)-dimensions Samir K. Paul (Bose Natl. Ctr., Kolkata), R. Shankar (Indian Inst. Tech., Kanpur), M. Sivakumar (Bose Natl. Ctr., Kolkata), Mod.Phys.Lett.A6:553-558,1991 Citations:09 32. On Bose-Fermi Equivalence In A U(1) Gauge Theory With Chern- Simons Action. N. Shaji (IMSc, Chennai), R. Shankar (Indian Inst. Tech., Kanpur), M. Sivakumar Mod.Phys.Lett.A5:593,1990.Citations:22 33. Kaluza-Klein Reduction And Consistency Of The Massive Spin 3/2 Theory With External Interaction. . Saurabh D. Rindani (Ahmed- abad, Phys. Res. Lab), M. Sivakumar (Bose Inst., Z.Phys.C49:601-606,1991.Citations: 34. Dimensional Reduction Of Symmetric Higher Spin Actions. 2: Fermions By S.D. Rindani, M. Sivakumar (IMSc, Chennai), D. Sahdev (Tata Inst.), Published in Mod.Phys.Lett.A4:275-281,1989.citations;10 35. Dimensional reduction of symmetric higher spin actions. 1. Bosons. S.D. Rindani (IMSc, Chennai), D. Sahdev (Tata Inst.), M. Sivakumar (IMSc, Chennai), Mod.Phys.Lett.A4:265-273,1989 Citations: 23 36. Kaluza-Klein Approach To Higher Spin Theories. By M. Sivakumar (IMSc, Chennai),. IMSC-89-02, (Received May 1989). 14pp.Published in Theoretical Physics-ed : M.Burma 37. Hamiltonian Formulation Of A Gauge Invariant Massive Spin 3/2 Theory. Saurabh D. Rindani, M. Sivakumar (IMSc, Chennai),. PRINT-88- 0096, Phys.Rev.D37:3543,1988 38. Consistent Spin One Theories By Kaluza-Klein Dimensional Re- duction. M. Sivakumar (IMSc, Chennai). Phys.Rev.D37:1690,1988 39. Consistent Theory Of Massive Spin 3/2 Particle With Electromag- netic And Gravitational Interaction By Kaluza-Klein Reduction. S.D. Rindani (Madras U. & IMSc, Chennai), M. Sivakumar (Madras U.),. IMSC/TP/85-008, MUTP-85/5, CV of M.SIVAKUMAR 13

Contributed to 23rd International Conference on High-Energy Physics held in Berkeley, CA, 16-23 July 1986. J.Phys.G12:1335,1986Citations: 14 40. Gauge - Invariant Description Of Massive Higher - Spin Parti- cles By Dimensional Reduction. By S.D. Rindani, M. Sivakumar (Madras U.), Phys.Rev.D32:3238,1985 Citations:43 41. Dimensional Reduction And Theories With Massive Gauge Fields. T.R. Govindarajan (Loyola Coll., Chennai), S.D. Rindani, M. Sivaku- mar (Madras U.) Phys.Rev.D32:454,1985. 42. On The Admissible Lorentz Group Representations In Unique Mass, Unique Spin Relativistic Wave Equations. By P.M. Mathews (MIT, LNS), B. Vijayalakshmi, M. Sivakumar (Madras U.),. 1982. J.Phys.A15:L579-L582,1982.