Lie Theory and Its Applications in Physics
Varna, Bulgaria, June 2019
Editors: Dobrev, Vladimir (Ed.)
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 Serves as interface of the scientific interests and methods of these groups of scientists
 Covers the entire field of Lie Theory in its widest sense, with its applications in many diverse facets of physics
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 About this book

This volume presents modern trends in the area of symmetries and their applications based on contributions to the workshop "Lie Theory and Its Applications in Physics" held near Varna (Bulgaria) in June 2019.
Traditionally, Lie theory is a tool to build mathematical models for physical systems. Recently, the trend is 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 meant in their widest sense, i.e., representation theory, algebraic geometry, number theory, infinitedimensional Lie algebras and groups, superalgebras and supergroups, groups and quantum groups, noncommutative geometry, symmetries of linear and nonlinear partial differential operators, special functions, and others. Furthermore, the necessary tools from functional analysis are included. This is a large interdisciplinary and interrelated field.
The topics covered in this volume from the workshop represent the most modern trends in the field : Representation Theory, Symmetries in String Theories, Symmetries in Gravity Theories, Supergravity, Conformal Field Theory, Integrable Systems, Polylogarithms, and Supersymmetry. They also include Supersymmetric Calogerotype models, Quantum Groups, Deformations, Quantum Computing and Deep Learning, Entanglement, Applications to Quantum Theory, and Exceptional Quantum Algebra for the standard model of particle physics
This book is suitable for a broad audience of mathematicians, mathematical physicists, and theoretical physicists, including researchers and graduate students interested in Lie Theory.
 Table of contents (47 chapters)


Topics on Global Analysis of Manifolds and Representation Theory of Reductive Groups
Pages 313

A Hidden Symmetry of a Branching Law
Pages 1528

Exceptional Quantum Algebra for the Standard Model of Particle Physics
Pages 2952

Polylogarithms from the Bound State Smatrix
Pages 5363

Metaconformal Invariance and Their Covariant Correlation Functions
Pages 6581

Table of contents (47 chapters)
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Bibliographic Information
 Bibliographic Information

 Book Title
 Lie Theory and Its Applications in Physics
 Book Subtitle
 Varna, Bulgaria, June 2019
 Editors

 Vladimir Dobrev
 Series Title
 Springer Proceedings in Mathematics & Statistics
 Series Volume
 335
 Copyright
 2020
 Publisher
 Springer Singapore
 Copyright Holder
 Springer Nature Singapore Pte Ltd.
 eBook ISBN
 9789811577758
 DOI
 10.1007/9789811577758
 Hardcover ISBN
 9789811577741
 Series ISSN
 21941009
 Edition Number
 1
 Number of Pages
 XIV, 552
 Number of Illustrations
 71 b/w illustrations, 38 illustrations in colour
 Topics