Lie Theory and Its Applications in Physics: Varna, Bulgaria, June 2019

The book discusses modern trends in symmetries and their applications, focusing on geometrization and representation theory. It covers topics such as string theories, gravity theories, supergravity, conformal field theory, integrable systems, polylogarithms, and supersymmetry. The book is suitable for a broad audience of mathematicians, mathematical physicists, and theoretical physicists.

Format: Paperback / softback
Length: 552 pages
Publication date: 17 October 2021
Publisher: Springer Verlag, Singapore

This volume presents cutting-edge developments in the field of symmetries and their diverse applications, drawing from contributions to the workshop "Lie Theory and Its Applications in Physics" held in June 2019 near Varna, Bulgaria. Traditionally, Lie theory serves as a powerful tool for constructing mathematical models to describe physical systems. However, there has been a recent trend towards geometrizing the mathematical representation of physical systems and objects. A geometric approach to a system often leads to the notion of symmetry, which plays a crucial role in understanding its structure. Geometrization and symmetries encompass a wide range of concepts, including 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, special functions, and more. Furthermore, essential tools from functional analysis are included to facilitate the study of these complex phenomena. This interdisciplinary and interconnected field encompasses a vast array of topics. The chapters presented in this volume cover the most recent trends in the field, including Representation Theory, Symmetries in String Theories, Symmetries in Gravity Theories, Supergravity, Conformal Field Theory, Integrable Systems, Polylogarithms, and Supersymmetry. They also delve into Supersymmetric Calogero-type 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 designed to appeal to a broad audience of mathematicians, mathematical physicists, and theoretical physicists, including researchers and graduate students with an interest in Lie Theory.

Weight: 860g
Dimension: 235 x 155 (mm)
ISBN-13: 9789811577772
Edition number: 1st ed. 2020