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Book of Abstracts BOOK OF ABSTRACTS 10th MATHEMATICAL PHYSICS MEETING: School and Conference on Modern Mathematical Physics 9 { 14 September 2019, Belgrade, Serbia www.mphys10.ipb.ac.rs Organizers 3 Organizers Institute of Physics (University of Belgrade) Belgrade, Serbia Faculty of Mathematics (University of Belgrade) Belgrade, Serbia Mathematical Institute (Serbian Academy of Sciences and Arts) Belgrade, Serbia Faculty of Science (University of Kragujevac) Kragujevac, Serbia Co-organizers Institute of Nuclear Sciences \Vinˇca" (University of Belgrade) Belgrade, Serbia Institute of Physics (University of Kragujevac) Kragujevac, Serbia Faculty of Physics (University of Belgrade) Belgrade, Serbia Faculty of Sciences (University of Novi Sad) Novi Sad, Serbia School of Electrical Engineering (University of Belgrade) Belgrade, Serbia Southeastern European Network in Mathematical and Theoretical Physics (SEENET-MTP) Nis, Serbia 4 Sponsors and media partners Sponsors Ministry of Education, Science and Technological Development, Serbia Telekom Srbija Open Access Journal \Symmetry" (MDPI, Switzerland) Media partner Open Access Journal \Entropy" (MDPI, Switzerland) Committees 5 International Advisory Committee Ignatios Antoniadis (Paris, France) Irina Arefeva (Moscow, Russia) Milutin Blagojevi´c(Belgrade, Serbia) Loriano Bonora (Trieste, Italy) Martin Cederwall (Goteborg, Sweden) Branislav Cvetkovi´c(Belgrade, Serbia) Marija Dimitrijevi´c Ciri´c(Belgrade,´ Serbia) Nemanja Kaloper (Davis, USA) Dord¯e- Mini´c(Blacksburg, USA) Viatcheslav Mukhanov (Munich, Germany) Emil Nissimov (Sofia, Bulgaria) Sergei Odintsov (Barcelona, Spain) Dmitri Polyakov (Chengdu, China; Moscow, Russia) Branislav Sazdovi´c(Belgrade, Serbia) Paul Sorba (Annecy, France) Alexei Starobinsky (Moscow, Russia) Dejan Stojkovi´c(Buffalo, USA) Mihai Visinescu (Bucharest, Romania) Rade Zivaljevi´c(Belgrade,ˇ Serbia) George Zoupanos (Athens, Greece) International Organizing Committee Vladimir Dobrev (Sofia, Bulgaria) Radu Constantinescu (Craiova, Romania) Branko Dragovich (Belgrade, Serbia) Goran Dord¯evi´c(Nis,- Serbia) Zoran Raki´c(Belgrade, Serbia) Marko Vojinovi´c(Belgrade, Serbia) Igor Volovich (Moscow, Russia) Local Organizing Committee Branko Dragovich (Co-Chairman, Institute of Physics, Belgrade) Marko Vojinovi´c(Co-Chairman, Institute of Physics, Belgrade) Sanja Cirkovi´c(Institute´ of Physics, Belgrade) Ljubica Davidovi´c(Institute of Physics, Belgrade) Ivan Dimitrijevi´c(Faculty of Mathematics, Belgrade, Serbia) 6 Participants Ilija Ivaniˇsevi´c(Institute of Physics, Belgrade) Tijana Radenkovi´c(Institute of Physics, Belgrade) Igor Salom (Institute of Physics, Belgrade) Dejan Simi´c(Institute of Physics, Belgrade) List of participants Ahmad Al-Badawi (Ma'an, Jordan) Ignatios Antoniadis (Bern, Switzerland) Irina Arefeva (Moscow, Russia) Sudipto Bhattacharjee (Kolkata, India) Asmus Bisbo (Gent, Belgium) Milutin Blagojevi´c(Belgrade, Serbia) Danijela Brankovi´c(Belgrade, Serbia) David Edward Bruschi (Vienna, Austria) Francisco Bulnes (Chalco, Mexico) Maja Buri´c(Belgrade, Serbia) Dmitri Bykov (Munich, Germany) Martin Cederwall (Goteborg, Sweden) Nuno Cirilo Antonio (Lisbon, Portugal) Diego Cirilo-Lombardo (Buenos Aires, Argentina) Radu Constantinescu (Craiova, Romania) Ion Cotaescu (Timisoara, Romania) Mihailo Cubrovi´c(Belgrade,ˇ Serbia) Branislav Cvetkovi´c(Belgrade, Serbia) Ljubica Davidovi´c(Belgrade, Serbia) Aleksandra Dimi´c(Belgrade, Serbia) Ivan Dimitrijevi´c(Belgrade, Serbia) Marija Dimitrijevi´c Ciri´c(Belgrade,´ Serbia) Goran Dord¯evi´c(Nis,- Serbia) Branko Dragovich (Belgrade, Serbia) Miroljub Dugi´c(Kragujevac, Serbia) Stefano Gregorio Giaccari (Holon, Israel) Dragoljub Goˇcanin (Belgrade, Serbia) Alexey Golovnev (Saint Petersburg, Russia) SiniˇsaIgnjatovi´c(Banja Luka, Bosnia and Herzegovina) Ilija Ivaniˇsevi´c(Belgrade, Serbia) Jasmina Jekni´c-Dugi´c(Nis, Serbia) Nikolaos Kalogeropoulos (Slemani, Iraq) Nikola Konjik (Belgrade, Serbia) Alexey Koshelev (Covilha, Portugal) Abhijit Mandal (Kolkata, India) Participants 7 Nenad Manojlovi´c(Faro, Portugal) Aleksandar Mikovi´c(Lisbon, Portugal) Milan Miloˇsevi´c(Nis, Serbia) Dord¯e- Mini´c(Blacksburg, USA) NataˇsaMiˇsi´c(Belgrade, Serbia) Biljana Nikoli´c(Belgrade, Serbia) Bojan Nikoli´c(Belgrade, Serbia) Emil Nissimov (Sofia, Bulgaria) Dusan Noviˇci´c(Belgrade, Serbia) Danijel Obri´c(Belgrade, Serbia) Sergei Odintsov (Barcelona, Spain) Svetlana Pacheva (Sofia, Bulgaria) Anna Pachol (London, United Kingdom) Shibesh Kumar Jas Pacif (Vellore, India) Dmitri Polyakov (Chengdu, China; Moscow, Russia) Dragan Prekrat (Belgrade, Serbia) Tijana Radenkovi´c(Belgrade, Serbia) Darko Radovanˇcevi´c(Nis, Serbia) Voja Radovanovi´c(Belgrade, Serbia) Zoran Raki´c(Belgrade, Serbia) Marcelo Enrique Rubio (Cordoba, Argentina) Igor Salom (Belgrade, Serbia) Gauranga Charan Samanta (Vasco da Gama, India) Branislav Sazdovi´c(Belgrade, Serbia) Dejan Simi´c(Belgrade, Serbia) Paul Sorba (Annecy, France) Ciprian Sporea (Timisoara, Romania) Jelena Stankovi´c(Belgrade, Serbia) Alexei Starobinsky (Moscow, Russia) Mykola Stetsko (Lviv, Ukraine) Ovidiu Cristinel Stoica (Bucharest, Romania) * Dejan Stojkovi´c(Buffalo, USA) Fumihiko Sugino (Daejeon, South Korea) Micha lSzczachor (Wroclaw, Poland) Marek Szydlowski (Krakow, Poland) Francesco Toppan (Rio de Janeiro, Brasil) Vitaly Vanchurin (Minnesota, USA) Olena Vaneeva (Kyiv, Ukraine) Mihai Visinescu (Bucharest, Romania) Marko Vojinovi´c(Belgrade, Serbia) * Igor Volovich (Moscow, Russia) Xiaoning Wu (Beijing, China) Naqing Xie (Shanghai, China) 8 Participants Aleksandar Zejak (Belgrade, Serbia) Rade Zivaljevi´c(Belgrade,ˇ Serbia) * to be confirmed ABSTRACTS Abstracts 11 Ahmad Al-Badawi Solutions of Dirac equation in the regular Bardeen black hole surrounded by quintessence The exact solutions of the Dirac equation that describe a massive, non-charged particle with spin 1=2 in the curved spacetime geometry of regular Bardeen black hole surrounded by quintessence (BBHQ) are investigated. We first, derive the Dirac equation in the BBHQ background using a null tetrad in the Newman-Penrose formalism. Afterwards, we separate the Dirac equation into ordinary differential equations for the radial and angular parts. The angular part equations are solved exactly in terms of standard spherical harmonics. The ra- dial part equations are transformed into a Schrodinger like differential wave equations with effective potentials. In addition we investigate the behaviour of the effective potentials by varying the quintessence parameters, magnetic monopole charge parameter and the frequency of the particle. Ignatios Antoniadis Inflation from supersymmetry breaking I will discuss the problem of scale hierarchies in particle physics and cosmology and propose ways to address it. In particular I will present a framework of obtaining inflation from supersymmetry breaking by identifying the inflaton with the superpartner of the goldstino and will describe its phenomenological consequences. 12 Abstracts Irina Aref'eva Holography for heavy-ion collision Holographic models of heavy-ion collision based on anisotropic 5- dimensional metric will be discussed. Calculations of holographic en- tanglement entropies of elongated and differently oriented relative to the beam-line three-dimensional regions will be presented. Significant fluctuations near the critical temperature for given chemical potential of these holographic entanglement entropies will be shown. We show that the fluctuations themselves are strongly dependent on anisotropy and orientation. Sudipto Bhattacharjee Role of particle creation mechanism on the collapse of a massive star In this presentation the collapse dynamics of a spherically symmet- ric massive star in the framework of non-equilibrium thermodynamic prescription through particle creation mechanism has been studied. For simplicity, the thermodynamic system is chosen to be adiabatic so that the effective bulk viscous pressure is linearly related to the par- ticle creation rate. Consequently, the evolution of the collapsing star also depends on the choice of particle creation rate. By suitable choice of creation rate as a function of the Hubble parameter, we found that the end state of the collapse may be either a black hole (BH) or a naked singularity (NS). Abstracts 13 Asmus Bisbo A polynomial basis for the paraboson Fock spaces The generalization of the usual bosonic fields to parabosonic fields was done by Green in 1952. Parabosons have since then been studied in many different contexts, including areas such as quantum field the- ory and Wigner quantum systems. Although interest in parabosons remains to this day, fundamental questions about the structure of the paraboson Fock spaces still remain unanswered. In particular it turns out that no \explicit" bases for the paraboson Fock spaces are known(apart from combinatorial Gelfand-Zetlin bases); I intend to change this by presenting the construction of a natural polynomial bases for the paraboson Fock spaces. It is know that the paraboson Fock spaces are characterized by a parameter p > 0 and can be identified as irreducible representations, V (p) of the orthosymplectic Lie superalgebra osp(1j2n). Building on the work done by Lievens, Stoilova, and Van der Jeugt on the structure of V (p), I will observe that the dimensions of the weight spaces of V (p) coincide with the number of semistandard Young tableaux of corresponding weight and height ≤ p and show how this observation leads to the construction of a basis for V (p) consisting of Clifford algebra valued polynomials. Finally, I will
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