Physical and Mathematical Aspects of Symmetries : Proceedings of the 31st International Colloquium in Group Theoretical Methods in Physics

The 31st International Colloquium on Group Theoretical Methods in Physics (also shortened as “Group 31”) was held in Rio de Janeiro, Brazil, from June 19 to June 25, 2016. This was the first time that a colloquium of the prestigious and nowadays traditional ICGTMP series, which started in 1972 in Marseille, France, took place in South America. The aim of the ICGTMP Colloquia is to provide a forum for physicists, mathematicians, and scientists of related disciplines who either develop or apply methods in group theory (further information on the history of the Colloquia and its recent development is found at the ICGTMP homepage http://icgtmp.blogs.uva.es/ ). The Group 31 Colloquium was hosted by the Centro Brasileiro de Pesquisas F ́ısicas (CBPF), a Federal Research Institute which, since its creation in 1949, has been essential for Brazilian science in promoting research and scientific interchange. The Group 31 Colloquium, consisted of three venues, was located in different areas of Rio de Janeiro. The main activity (registration, parallel and poster sessions) took place at CBPF in the Urca neighborhood, while plenary sessions were held at the Auditorium of the Fundac ̧ ̃ao Casa de Rui Barbosa in Botafogo. The Award Ceremony for the Wigner Medal and the Weyl Prize was held on June 22 in the new landmark of Rio de Janeiro, the Museu do Amanh ̃a science museum, next to the waterfront of Pier Mau ́a. The last day of the colloquium a general public event was also held at Museu do Amanh ̃a. In recent years Brazil experienced a scientific boost (measured, e.g., by the number of scientific publications and their impact) which has been unparalleled in its history. To be sure, the group theoretical community was both a beneficiary and a promoter of this scientific rise. One of the motivations to organize the Group Theoretical Colloquium in Brazil was indeed to offer a unique opportunity to the growing, although scattered on a vast subcontinental nation and not yet fully organized, community of researchers working in the country (and profiting, as well, researchers from other South American nations). In this respect the colloquium was a great success, with more than 140 participants, equally split into Brazilians and foreigners. It is particularly remarkable that all continents were represented, this is a sign of the relevance of this scientific topic and of the world-wide esteem that the colloquium is held by our colleagues. This success was made possible, in particular, by grants received by TWAS, supporting participation of scientists from developing countries, and ICTP, supporting participants from Latin American countries outside of Brazil. The main sponsor of the event has been the CAPES Federal Agency which offered a substantial contribution to the Local Organizing Committee. Important logistic supixport with free use of the facilities was provided by CBPF, Fundac ̧ ̃ao Casa de Rui Barbosa, and Museu do Amanh ̃a. The scientific program of Group 31 was particularly rich, with eleven plenary talks, thirteen parallel sessions with both oral and poster presentations, two laudatio speeches in honor of, respectively, the Wigner Medalist and the Weyl Prize winner, and two memorial talks. The memorial talks were held to honor renowned colleagues Laurence Boyle and Syed Twareque Ali, members of the ICGTMP Standing Committee, who sadly passed away. Before the Colloquium, as a parallel program, a two-day Satellite Workshop on Mathematical Physics was organized on June 16 and 17 in S. Paulo by ICTP-SAIFR (the International Center for Theoretical Physics-South American Institute for Fundamental Research). At the Inauguration of the colloquium welcome speeches were given by Mariano del Olmo, Chairman of the ICGTMP Standing Committee, Ronald Shellard, Director of the CBPF and Luiz Davidovich, President of the Brazilian Academy of Science. Front Matter ....Pages i-xxii Front Matter ....Pages 1-2 Laudatio of Bertram Kostant (Michèle Vergne, Anthony Joseph, Shrawan Kumar)....Pages 3-7 Reflecting on mathematics and mathematical physics (Bertram Kostant)....Pages 9-10 Laudatio of Vasily Pestun (Luc Vinet)....Pages 11-13 Front Matter ....Pages 15-15 Phenomenology of neutrinos and macroscopic bodies in non-commutative spacetime (Giovanni Amelino-Camelia)....Pages 17-26 The dynamical evolution in quantum physics and its semi-group (Arno Bohm)....Pages 27-40 Algebraic structures on the moduli spaces in gauge theories (Vasily Pestun)....Pages 41-50 Statistical mechanics for complex systems: On the structure of q-triplets (Constantino Tsallis)....Pages 51-59 Unconventional supersymmetry: Local SUSY without SUGRA (Jorge Zanelli)....Pages 61-62 Front Matter ....Pages 63-63 Analysis of the production of exotic bottomonium-like resonances via heavy-meson effective theory (L. M. Abreu)....Pages 65-71 An alternative construction for the Type-II defect matrix for the sshG (A. R. Aguirre, J. F. Gomes, A. L. Retore, N. I. Spano, A. H. Zimerman)....Pages 73-78 Generalized supersymmetry and the Lévy-Leblond equation (N. Aizawa, Z. Kuznetsova, H. Tanaka, F. Toppan)....Pages 79-84 Investigating the effect of cognitive stress on cardiorespiratory synchronization (Maia Angelova, Philip Holloway, Laurie Rauch)....Pages 85-91 Generalization of conserved charges for Toda models (Rita C. Anjos)....Pages 93-98 On supersymmetric eigenvectors of the 5D discrete Fourier transform (M. K. Atakishiyeva, N. M. Atakishiyev)....Pages 99-104 Remarks on Berezin quantization on the Siegel-Jacobi ball (Stefan Berceanu)....Pages 105-110 The good, the bad and the ugly coherent states through polynomial Heisenberg algebras (Miguel Castillo-Celeita, David J. Fernández C.)....Pages 111-117 Generation and dynamics of crystallised-type states of light within the Tavis-Cummings model (O. Casta ̃ños, S. Cordero, E. Nahmad-Achar, R. López-Pe ̃ña)....Pages 119-125 Immanants of unitary matrices and their submatrices (Dylan Spivak, Hubert de Guise)....Pages 127-132 Group theoretical aspects of L2(R+), L2(R2) and associated Laguerre polynomials (Enrico Celeghini, Mariano A. del Olmo)....Pages 133-138 Galilean complex Sine-Gordon equation: symmetries, soliton solutions and gauge coupling (Genilson de Melo, Marc de Montigny, James Pinfold, Jack Tuszynski)....Pages 139-144 On completeness of coherent states in noncommutative spaces with the generalised uncertainty principle (Sanjib Dey)....Pages 145-152 Majorana neutrinos in an effective field theory approach (Lucía Duarte, Oscar A. Sampayo)....Pages 153-158 Feynman-Dyson propagators for neutral particles (local or non-local?) (Valeriy V. Dvoeglazov)....Pages 159-164 Generalized equations and their solutions in the (S,0)×(0,S) representations of the Lorentz group (Valeriy V. Dvoeglazov)....Pages 165-170 Quantum cosmology with k-Essence theory (C. R. Almeida, J. C. Fabris, F. Sbisá, Y. Tavakoli)....Pages 171-176 Troubles with the radiation reaction in electrodynamics (Sofiane Faci, José A. Helayel-Neto, V. H. Satheeshkumar)....Pages 177-182 Gravitational “seesaw” and light bending in higher-derivative gravity (Antonio Accioly, Breno L. Giacchini, Ilya L. Shapiro)....Pages 183-188 History of particles in the early universe from contracting the Standard Model (N. A. Gromov)....Pages 189-194 Ternary Z6-graded algebras (Richard Kerner)....Pages 195-201 The zeta function approach applied to Casimir effects in a stack of conductive planes (Nail Khusnutdinov, Rashid Kashapov, Lilia M. Woods)....Pages 203-208 Rephasing invariant monomials of the Cabibbo-Kobayashi-Maskawa matrix (Piotr Kielanowski, S. Rebeca Juárez W.)....Pages 209-214 The SchrÖdinger equation in rotating frames by using the stochastic variational method (Tomoi Koide, Kazuo Tsushima, Takeshi Kodama)....Pages 215-220 Perturbation of the Malliavin Calculus of Bismut type for a large order on a Lie group (Rémi Léandre)....Pages 221-225 Shift operators and recurrence relations for individual Lamé polynomials (Eugenio Ley-Koo, Ricardo Méndez-Fragoso)....Pages 227-232 Shift operators and recurrence relations for Legendre polynomials with noninteger associativity and definite parity (Eugenio Ley-Koo, Salvador A. Cruz)....Pages 233-238 On completeness of Bethe Ansatz solutions for sl(2) Richardson–Gaudin systems (Jon Links)....Pages 239-244 Nonadiabatic bounce in quantum cosmology (Przemysław Małkiewicz)....Pages 245-252 Two-dimensional massless light-front fields and conformal field theory (L’ubomí Martinovič)....Pages 253-261 Pattern recognition of amino acids via a Poisson statistical approach (R. P. Mondaini, S. C. de Albuquerque Neto)....Pages 263-270 Real pseudo-orthogonal groups and the canonical commutation relations (Patrick Moylan)....Pages 271-277 Quantum isometry groups and Born reciprocity in 3d gravity (Prince K. Osei)....Pages 279-286 A new procedure for constructing basis vectors of irreducible representations of SU(3) under the \( SU(3) \supset SO(3) \) basis (Feng Pan, K. D. Launey, J. P. Draayer)....Pages 287-292 Massive Dirac field in 3D and induced equations for higher spin fields (L. Bonora, M. Cvitan, P. Dominis Prester, S. Giaccari, B. Lima de Souza, T Štemberga)....Pages 293-298 Current algebra for a generalized two-sites Bose-Hubbard model (Gilberto N. Santos Filho)....Pages 299-304 The role of “escort fields” in the relation between massless and massive vector (tensor) mesons (Bert Schroer)....Pages 305-313 String-localized infinite spin fields and inert matter (Bert Schroer)....Pages 315-318 Toeplitz quantization of the quantum group SUq(2) (Stephen Bruce Sontz)....Pages 319-324 The sinh-Gordon defect matrix generalized for n defects (N. I. Spano, A. L. Retore, J. F. Gomes, A. R. Aguirre, A. H. Zimerman)....Pages 325-330 Higher-genus amplitudes and resurgence in SUSY double-well matrix model for 2D IIA superstrings (Fumihiko Sugino)....Pages 331-336 3D Higher spin gravity and the fractional quantum Hall effect (Mauricio Valenzuela)....Pages 337-342 The “odd” Gelfand-Zetlin basis for representations of general linear Lie superalgebras (J. Van der Jeugt, N. I. Stoilova)....Pages 343-348 Bannai–Ito algebras and the osp(1;2) superalgebra (Hendrik De Bie, Vincent X. Genest, Wouter van de Vijver, Luc Vinet)....Pages 349-354 Exact state revival in a spin chain with next-to-nearest neighbour interactions (Matthias Christandl, Luc Vinet, Alexei Zhedanov)....Pages 355-360 A triality between weak mutually unbiased bases, zeros of their analytic representations, and finite geometries (T. Olupitan, C. Lei, A. Vourdas)....Pages 361-366 The U(2) Fourier group for rectangular pixellated images (Alejandro R. Urzúa, Kurt Bernardo Wolf)....Pages 367-373 Front Matter ....Pages 375-375 Finding a dictionary between tensor models and crystallization theory (Grace Itunuoluwa Akinwande)....Pages 377-379 Quantum cosmology of scalar-tensor theories and self-adjointness (Carla R. Almeida)....Pages 381-382 Luminosity of ultrahigh energy cosmic rays as a probe of black strings (Rita C. Anjos, Carlos H. Coimbra-Araújo)....Pages 383-384 About nonlinear coherent states in graphene (Erik Díaz-Bautista, David J. Fernández C.)....Pages 385-387 Painlevé IV solutions from systems with a harmonic oscillator gapped spectrum (Mario Ivan Estrada-Delgado, David J. Fernández C.)....Pages 389-390 Interior solution for a translating cylinder of matter (Pedro Henrique Meert Ferreira, Maria de Fátima Alves da Silva)....Pages 391-392 A classical calculation of the W-boson magnetic moment (Alexandre Hefren de Vasconcelos Júnior)....Pages 393-396 Quantum angle from E(2) coherent states quantization of motion on the circle (Diego Noguera)....Pages 397-399 Free-energy formalism for inhomogeneous nonlinear Fokker-Planck equations (Peter Rapčan, Gabriele Sicuro, Constantino Tsallis)....Pages 401-403 Relativistic deformation of Helmholtz wavefields (Cristina Salto-Alegre, Amalia Torre, Kurt Bernardo Wolf)....Pages 405-406 Front Matter ....Pages 407-407 Syad Twareque Ali (Jean-Pierre Antoine, Jean-Pierre Gazeau)....Pages 409-411 Laurence Boyle - In Memoriam (Maia Angelova)....Pages 413-418 Back Matter ....Pages 419-422 This proceedings records the 31st International Colloquium on Group Theoretical Methods in Physics ("Group 31"). Plenary-invited articles propose new approaches to the moduli spaces in gauge theories (V. Pestun, 2016 Weyl Prize Awardee), the phenomenology of neutrinos in non-commutative space-time, the use of Hardy spaces in quantum physics, contradictions in the use of statistical methods on complex systems, and alternative models of supersymmetry. This volume's survey articles broaden the colloquia's scope out into Majorana neutrino behavior, the dynamics of radiating charges, statistical pattern recognition of amino acids, and a variety of applications of gauge theory, among others. This year's proceedings further honors Bertram Kostant (2016 Wigner Medalist), as well as S.T. Ali and L. Boyle, for their life-long contributions to the math and physics communities. The aim of the ICGTMP is to provide a forum for physicists, mathematicians, and scientists of related disciplines who develop or apply methods in group theory to share their research. The 31st ICGTMP was held in Rio de Janeiro, Brazil, from June 19th to June 25th, 2016. This was the first time that a colloquium of the prestigious and traditional ICGTMP series (which started in 1972 in Marseille, France) took place in South America. (The history of the colloquia can be found at http://icgtmp.blogs.uva.es/). This proceedings records the 31st International Colloquium on Group Theoretical Methods in Physics (zGroup 31y). Plenary-invited articles propose new approaches to the moduli spaces in gauge theories (V. Pestun, 2016 Weyl Prize Awardee), the phenomenology of neutrinos in non-commutative space-time, the use of Hardy spaces in quantum physics, contradictions in the use of statistical methods on complex systems, and alternative models of supersymmetry. This volume's survey articles broaden the colloquia's scope out into Majorana neutrino behavior, the dynamics of radiating charges, statistical pattern recognition of amino acids, and a variety of applications of gauge theory, among others. This year's proceedings further honors Bertram Kostant (2016 Wigner Medalist), as well as S.T. Ali and L. Boyle, for their life-long contributions to the math and physics communities. The aim of the ICGTMP is to provide a forum for physicists, mathematicians, and scientists of related disciplines who develop or apply methods in group theory to share their research. The 31st ICGTMP was held in Rio de Janeiro, Brazil, from June 19th to June 25th, 2016. This was the first time that a colloquium of the prestigious and traditional ICGTMP series (which started in 1972 in Marseille, France) took place in South America. (The history of the colloquia can be found at http://icgtmp.blogs.uva.es/) This proceedings records the 31st International Colloquium on Group Theoretical Methods in Physics (Group 31). Plenary-invited articles propose new approaches to the moduli spaces in gauge theories (V. Pestun, 2016 Weyl Prize Awardee), the phenomenology of neutrinos in non-commutative space-time, the use of Hardy spaces in quantum physics, contradictions in the use of statistical methods on complex systems, and alternative models of supersymmetry. This volumes survey articles broaden the colloquias scope out into Majorana neutrino behavior, the dynamics of radiating charges, statistical pattern recognition of amino acids, and a variety of applications of gauge theory, among others. This years proceedings further honors Bertram Kostant (2016 Wigner Medalist), as well as S.T. Ali and L. Boyle, for their life-long contributions to the math and physics communities. The aim of the ICGTMP is to provide a forum for physicists, mathematicians, and scientists of related disciplines who develop or apply methods in group theory to share their research.䨥 31st ICGTMP was held in Rio de Janeiro, Brazil, from June 19th to June 25th, 2016. This was the first time that a colloquium of the prestigious and traditional ICGTMP series (which started in 1972 in Marseille, France) took place in South America.蔨e history of the colloquia can be found at http://icgtmp.blogs.uva.es/)