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Lie Theory and Its Applications in Physics

Varna, Bulgaria, June 2015

  • Conference proceedings
  • © 2016

Overview

Editors:
  1. Vladimir Dobrev

    1. Institute of Nuclear Research and Nuclear Energy, Bulgarian Academy of Sciences, Sofia, Bulgaria

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  • Presents a uniquely equal and balanced representation of mathematicians, mathematical physicists, and theoretical physicists
  • Serves as an interface of the scientific interests and methods of these groups of scientist
  • Covers the entire field of Lie Theory in its widest sense, together with its applications in many diverse facets of physics
  • Includes supplementary material: sn.pub/extras

Part of the book series: Springer Proceedings in Mathematics & Statistics (PROMS, volume 191)

Included in the following conference series:

Conference proceedings info: LT 2015.

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Table of contents (49 papers)

  1. Front Matter

    Pages i-xv
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  2. Plenary Talks

    1. Front Matter

      Pages 1-1
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    2. \(*\)–Lie Algebras Canonically Associated to Probability Measures on \({\pmb {\varvec{\mathbb {R}}}}\) with All Moments

      • Luigi Accardi, Abdessatar Barhoumi, Yun Gang Lu, Mohamed Rhaima
      Pages 3-21

    3. Special Conformal Transformations and Contact Terms

      • Loriano Bonora
      Pages 23-34

    4. On Nonlocal Modified Gravity and Its Cosmological Solutions

      • Ivan Dimitrijevic, Branko Dragovich, Jelena Stankovic, Alexey S. Koshelev, Zoran Rakic
      Pages 35-51

    5. Kinetics of Interface Growth: Physical Ageing and Dynamical Symmetries

      • Malte Henkel
      Pages 53-65

    6. News on SU(2|1) Supersymmetric Mechanics

      • Evgeny Ivanov, Stepan Sidorov
      Pages 67-81

    7. Intrinsic Sound of Anti-de Sitter Manifolds

      • Toshiyuki Kobayashi
      Pages 83-99

    8. Sphere Partition Functions and the Kähler Metric on the Conformal Manifold

      • Efrat Gerchkovitz, Zohar Komargodski
      Pages 101-110

    9. Real Group Orbits on Flag Ind-Varieties of \(\mathrm {SL}(\infty ,\mathbb {C})\)

      • Mikhail V. Ignatyev, Ivan Penkov, Joseph A. Wolf
      Pages 111-135

    10. Derived Functors and Intertwining Operators for Principal Series Representations of \(SL_2({\pmb {\mathbb {R}}})\)

      • Raul Gomez, Birgit Speh
      Pages 137-150

    11. Hyperlogarithms and Periods in Feynman Amplitudes

      • Ivan Todorov
      Pages 151-167

    12. The Parastatistics Fock Space and Explicit Infinite-Dimensional Representations of the Lie Superalgebra \({\mathfrak {osp}}(2m+1|2n)\)

      • N. I. Stoilova, J. Van der Jeugt
      Pages 169-180

    13. Stepwise Square Integrable Representations: The Concept and Some Consequences

      • Joseph A. Wolf
      Pages 181-202

    14. Higher-Dimensional Unified Theories with Continuous and Fuzzy Coset Spaces as Extra Dimensions

      • G. Manolakos, G. Zoupanos
      Pages 203-229

  3. String Theories and Gravity Theories

    1. Front Matter

      Pages 231-231
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    2. Higher Genus Amplitudes in SUSY Double-Well Matrix Model for 2D IIA Superstring

      • Fumihiko Sugino
      Pages 233-243

    3. Kruskal–Penrose Formalism for Lightlike Thin-Shell Wormholes

      • Eduardo Guendelman, Emil Nissimov, Svetlana Pacheva, Michail Stoilov
      Pages 245-259

    4. Metric-Independent Spacetime Volume-Forms and Dark Energy/Dark Matter Unification

      • Eduardo Guendelman, Emil Nissimov, Svetlana Pacheva
      Pages 261-273

    5. Large Volume Supersymmetry Breaking Without Decompactification Problem

      • Hervé Partouche
      Pages 275-284
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  1. Lie Theory and Its Applications in Physics

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About this book

This volume presents modern trends in the area of symmetries and their applications based on contributions from the workshop "Lie Theory and Its Applications in Physics", held near Varna, Bulgaria, in June 2015. Traditionally, Lie theory is a tool to build mathematical models for physical systems.
Recently, the trend has been towards geometrization of the mathematical description of physical systems and objects. A geometric approach to a system yields in general some notion of symmetry, which is very helpful in understanding its structure. Geometrization and symmetries are employed in their widest sense, embracing representation theory, algebraic geometry, number theory, infinite-dimensional Lie algebras and groups, superalgebras and supergroups, groups and quantum groups, noncommutative geometry, symmetries of linear and nonlinear partial differential operators (PDO), special functions, and others. Furthermore, the necessary tools from functional analysis are included.

Editors and Affiliations

  • Institute of Nuclear Research and Nuclear Energy, Bulgarian Academy of Sciences, Sofia, Bulgaria

    Vladimir Dobrev

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