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Quantum Theory and Symmetries with Lie Theory and Its Applications in Physics Volume 1

QTS-X/LT-XII, Varna, Bulgaria, June 2017

  • Conference proceedings
  • © 2018

Overview

Editors:
  1. Vladimir Dobrev

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

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  • This joint meeting of QTS10 and LT12 is unique in the equal and balanced representation of theoretical physicists, mathematical physicists and mathematicians. It served as interface and as a meeting place for these groups of scientists
  • The LT series covers the whole field of Lie Theory in its widest sense together with its applications in many facets of physics
  • There is a fruitful overlap between the QTS series and the LT series which makes the set of the two volumes unique

Part of the book series: Springer Proceedings in Mathematics & Statistics (PROMS, volume 263)

Included in the following conference series:

Conference proceedings info: LT-XII/QTS-X 2017.

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Table of contents (30 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. Image of Conformally Covariant, Symmetry Breaking Operators for \({\mathbb {R}}^{p,q}\)

      • Toshiyuki Kobayashi, Alex Leontiev
      Pages 3-35

    3. Trails for Minuscule Modules and Dual Kashiwara Functions for the \(B(\infty )\) Crystal

      • Anthony Joseph
      Pages 37-53

    4. From Euler’s Play with Infinite Series to the Anomalous Magnetic Moment

      • Ivan Todorov
      Pages 55-73

    5. On the Derivation of the Wallis Formula for \(\pi \) in the 17th and 21st Centuries

      • Tamar Friedmann
      Pages 75-89

    6. Variations of Infinite Derivative Modified Gravity

      • Ivan Dimitrijevic, Branko Dragovich, Zoran Rakic, Jelena Stankovic
      Pages 91-111

    7. Infinite-Dimensional Metaconformal Symmetries: 1D Diffusion-Limited Erosion and Ballistic Transport in \((1+2)\) Dimensions

      • Malte Henkel, Stoimen Stoimenov
      Pages 113-135

    8. Behrends–Fronsdal Spin Projection Operator in Space-Time with Arbitrary Dimension

      • A. P. Isaev, M. A. Podoinitsyn
      Pages 137-148

    9. Wakimoto Realization of the Quantum Affine Superalgebra \(U_q(\widehat{sl}(M|N))\)

      • Takeo Kojima
      Pages 149-163

    10. On Superdimensions of Some Infinite-Dimensional Irreducible Representations of \(\mathfrak {osp}(m|n)\)

      • N. I. Stoilova, J. Thierry-Mieg, J. Van der Jeugt
      Pages 165-176

    11. Non-commutativity in Unified Theories and Gravity

      • G. Manolakos, G. Zoupanos
      Pages 177-205

  4. Integrability

    1. Front Matter

      Pages 261-261
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    2. The Superintegrable Zernike System

      • Natig M. Atakishiyev, George S. Pogosyan, Cristina Salto-Alegre, Kurt Bernardo Wolf, Alexander Yakhno
      Pages 263-273
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Other volumes

  1. Quantum Theory and Symmetries with Lie Theory and Its Applications in Physics Volume 2

  2. Quantum Theory and Symmetries with Lie Theory and Its Applications in Physics Volume 1

Keywords

About this book

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 thosefocusing 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. 


Editors and Affiliations

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

    Vladimir Dobrev

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