Quantum theory and symmetries with lie theory and its applications in physics : QTS-X/LT-XII, Varna, Bulgaria, June 2017
著者
書誌事項
Quantum theory and symmetries with lie theory and its applications in physics : QTS-X/LT-XII, Varna, Bulgaria, June 2017
（Springer proceedings in mathematics & statistics, v. 263,
Springer, c2018
- v. 1
- v. 2
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注記
Includes bibliographical references
内容説明・目次
- 巻冊次
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v. 2 ISBN 9789811321788
内容説明
This book is the second volume of the proceedings of the joint conference X. International Symposium "Quantum Theory and Symmetries" (QTS-X) and XII. International Workshop "Lie Theory and Its Applications in Physics" (LT-XII), 19-25 June 2017, Varna, Bulgaria.
The QTS series started around the core concept that symmetries underlie all descriptions of quantum systems. It has since evolved into a symposium on the frontiers of theoretical and mathematical physics. The LT series covers the whole field of Lie Theory in its widest sense together with its applications in many facets of physics. As an interface between mathematics and physics the workshop serves as a meeting place for mathematicians and theoretical and mathematical physicists.
In the division of the material between the two volumes, the Editor has tried to select for the first and second volumes papers that are more oriented toward mathematics and physics, respectively. However, this division is relative since many papers could have been placed in either volume. The topics covered in this volume represent the most modern trends in the fields of the joint conferences: symmetries in string theories, conformal field theory, holography, gravity theories and cosmology, gauge theories, foundations of quantum theory, nonrelativistic and classical theories.
目次
- Plenary Talks: Benjamin Basso, From Hexagons to Feynman Integrals.- Loriano Bonora, M. Cvitan, P. Dominis Prester, S. Giaccari, and T. Stemberga, Higher Spins from One-Loop Effective Actions.- Martin Cederwall, Algebraic Structures in Exceptional Geometry.- Sumit R. Das, Animik Ghosh, Antal Jevicki, Kenta Suzuki, Duality in the Sachdev-Ye-Kitaev Model.- Evgeny Ivanov, Implications of Hidden N = (0
- 1) Supersymmetry in 6D
- N = (1
- 1) SYM Theory.- Ivan Kostov, Didina Serban, and Dinh-Long Vu, TBA and Tree Expansion.- Eduardo Guendelman, Emil Nissimov, and Svetlana Pacheva, Wheeler-DeWitt Quantization of Gravity Models of Unified Dark Energy and Dark Matter.- Dmitry Chicherin, Paul Heslop, Gregory P. Korchemsky, and Emery Sokatchev, Wilson Loop Form Factors: A New Duality.- Fumihiko Sugino and Pramod Padmanabhan, Many-Body Localization in Large-N Conformal Mechanics.- Generalized Bases with a Resolution of the Identity: A. Vourdas, A Cooperative Game Theory Approach.- Holography and String Theory, Lilia Anguelova, Peter Suranyi and L.C. Rohana Wijewardhana, On Non-slow Roll Inflationary Regimes.- Yuhma Asano, Veselin G. Filev, Samuel Kova cik, Denjoe O'Connor, Precision Test of Holographic Flavourdynamics.- Alfredo Bonini, Davide Fioravanti, Simone Piscaglia, and Marco Rossi, N = 4 PolygonalWilson Loops: Fermions.- Yi Yang, Hidden Symmetry in String Theory.- H. Dimov, S. Mladenov, R. Rashkov, and T. Vetsov, Information Geometry of Strings on Plane Wave Background.- Gravity and Cosmology, C.I. Lazaroiu, C.S. Shahbazi, The Global Formulation of Generalized Einstein-Scalar-Maxwell Theories, Elena Mirela Babalic and Calin Iuliu Lazaroiu, Two-Field Cosmological Models and the Uniformization Theorem.- Dario Rosa, The Cohomological Structure of Generalized Killing Spinor Equations.- Denitsa Staicova and Michail Stoilov, Cosmological Solutions From Models with Unified Dark Energy and Dark Matter and with Inflaton Field.- Kalin Marinov and Plamen Fiziev, Relation between Dilatonic Pressure and Cosmological Pressure for Neutron Stars in Minimal Dilatonic Gravity.- Conformal and Gauge Theories, Satoshi Ohya, ConformalWard-Takahashi Identity at Finite Temperature, Marian Stanishkov, Renormalization in Some 2D b su(2) Coset Models.- Amalia Torre, Ambra Lattanzi and Decio Levi, Time-Dependent Free-Particle Salpeter Equation: Features of the Solutions.- Ovidiu Cristinel Stoica, Leptons, Quarks, and Gauge Symmetries, from a Clifford Algebra.- Foundations of Quantum Theory, Josef Jany ska, Marco Modugno, Dirk Saller, Infinitesimal Symmetries in Covariant Quantum Mechanics.- Sara Botelho-Andrade, Peter G. Casazza, Desai Cheng, John Haas, and Tin T. Tran, The Quantum Detection Problem: A Survey.- Andras Laszlo, Possible Alternative Mechanism to Susy: Conservative Extensions of the Poincare Group.- Walter Smilga, Noether's Theorem and Its Complement in Multi-Particle Systems.- Enrico Celeghini, Manuel Gadella, and Mariano A. del Olmo, SU(2), Associated Laguerre Polynomials and Rigged Hilbert Spaces.- Nonrelativistic and Classical Theories, Asher Yahalom, Metage Symmetry Group of Non-Barotropic Magnetohydrodynamics and the Conservation of Cross Helicity.- Igor Salom and V. Dmitra sinovic, Three Quarks Confined by an Area-Dependent Potential in Two Dimensions.- Stam Nicolis, Pascal Thibaudeau, Thomas Nussle, A Group Action Principle for Nambu Dynamics of Spin Degrees of Freedom.- Roberto Auzzi, Newton-Cartan Trace Anomalies and Renormalization Group Flows.- E.I. Jafarov and S.M. Nagiyev, Evolution Operator Method and a Non-Relativistic Particle in the Time-Dependent Homogeneous Field.
- 巻冊次
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v. 1 ISBN 9789811327148
内容説明
This book is the first volume of proceedings from the joint conference X International Symposium "Quantum Theory and Symmetries" (QTS-X) and XII International Workshop "Lie Theory and Its Applications in Physics" (LT-XII), held on 19-25 June 2017 in Varna, Bulgaria. The QTS series was founded on the core principle that symmetries underlie all descriptions of quantum systems. It has since evolved into a symposium at the forefront of theoretical and mathematical physics. The LT series covers the whole field of Lie theory in its widest sense, together with its applications in many areas of physics. As an interface between mathematics and physics, the workshop serves as a meeting place for mathematicians and theoretical and mathematical physicists. In dividing the material between the two volumes, the Editor has sought to select papers that are more oriented toward mathematics for the first volume, and those focusing more on physics for the second. However, this division is relative, since many papers are equally suitable for either volume. The topics addressed in this volume represent the latest trends in the fields covered by the joint conferences: representation theory, integrability, entanglement, quantum groups, number theory, conformal geometry, quantum affine superalgebras, noncommutative geometry. Further, they present various mathematical results: on minuscule modules, symmetry breaking operators, Kashiwara crystals, meta-conformal invariance, the superintegrable Zernike system.
目次
- PART 1: Plenary Talks, Toshiyuki Kobayashi and Alex Leontiev, Image of Conformally Covariant, Symmetry Breaking Operators for Rp
- q.- Anthony Joseph, Trails for Minuscule Modules and Dual Kashiwara Functions for the B(Y) Crystal.- Ivan Todorov, From Euler's Play with Infinite Series to the Anomalous Magnetic Moment.- Tamar Friedmann, On the Derivation of the Wallis Formula for p in the 17th and 21st Centuries.- Ivan Dimitrijevic, Branko Dragovich, Zoran Rakic, Jelena Stankovic, Variations of Infinite Derivative Modified Gravity.- Malte Henkel and Stoimen Stoimenov, Infinite-Dimensional Metaconformal Symmetries: 1D Diffusion-Limited Erosion and Ballistic Transport in (1+2) Dimensions.- A.P. Isaev, M.A. Podoinitsyn, Behrends-Fronsdal Spin Projection Operator in Space-Time with Arbitrary Dimension.- Takeo Kojima, Wakimoto Realization of the Quantum Affine Superalgebra Uq(bsl(MjN)).- N.I. Stoilova, J. Thierry-Mieg, J. Van der Jeugt, On Superdimensions of Some Infinite-Dimensional Irreducible Representations of osp(mjn).- G. Manolakos, G. Zoupanos, Non-commutativity in Unified Theories and Gravity.- PART 2: Representation Theory, Jean-Emile Bourgine, Webs of Quantum Algebra Representations in 5d N = 1 Super Yang-Mills.- Patrick Moylan, Parallelizations for Induced Representations of SO0(2,q).- Takuya Matsumoto, Screening Operators for the Lattice Vertex Operator Algebras of Type A1 at Positive Rational Level.- Hendrik De Bie, Roy Oste, Joris Van der Jeugt, Symmetries of the S3 Dirac-Dunkl Operator.- PART 3: Integrability, Natig M. Atakishiyev, George S. Pogosyan, Cristina Salto-Alegre, Kurt Bernardo Wolf, Alexander Yakhno, The Superintegrable Zernike System.- Iana I. Anguelova, The Two Bosonizations of the CKP Hierarchy: Bicharacter Construction and Vacuum Expectation Values.- A.R. Aguirre, J.F. Gomes, A.L. Retore, N.I. Spano, A.H. Zimerman, Recursion Operator and Backlund Transformation for Super mKdV Hierarchy.- Kyriakos Charalambous and Christodoulos Sophocleous, Lie Symmetry Analysis of a Third-Order Equation Arising from a General Class of Lotka-Volterra Chains.- PART 4: Entanglement, Hichem Eleuch, Michael Hilke, Richard MacKenzie, Probing Anderson Localization Using the Dynamics of a Qubit.- Mike Hewitt, Pure Spinors, Impure Spinors and Quantum Mechanics.- H. Dimov, S. Mladenov, R. Rashkov, T. Vetsov, Higher-Derivative Oscillators in AdS5GBPS5 T-dual Penrose Limits.- PART 5: Quantum Groups and Related Structures, A ngel Ballesteros, Rutwig Campoamor-Stursberg, Eduardo Fernandez-Saiz, Francisco J. Herranz, Javier de Lucas, A Unified Approach to Poisson-Hopf Deformations of Lie-Hamilton Systems Based on sl(2).- Huafeng Zhang, Two-Parameter Quantum General Linear Supergroups.- Doman Takata, Noncommutative Geometry and an Index Theory Of Infinite-Dimensional Manifolds.- PART 6: Various Mathematical Results, Cristian Anghel, A Stable Version of Terao Conjecture.- J.F. Colombeau, J. Aragona, P. Catuogno, S.O. Juriaans, Ch. Olivera, Multiplication of Distributions and Nonperturbative Calculations of Transition Probabilities.- Alexander Ganchev, About Markov, Gibbs, ... Gauge Theory ... Finance.- Rosa M. Navarro and Jose M. Sanchez, A Method for Classifying Filiform Lie Superalgebras.- Maryna Nesterenko and Severin Po sta, Equivalence of Vector Field Realizations of Lie Algebras from the Lie Group Point of View.- List of Participants.
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