Partition Functions and Automorphic Forms: 5 (Moscow Lectures) - Tapa blanda

Libro 5 de 6: Moscow Lectures
 
9783030424022: Partition Functions and Automorphic Forms: 5 (Moscow Lectures)
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ISBN 10: 3030424022 ISBN 13: 9783030424022
Editorial: Springer, 2021

Sinopsis

This book offers an introduction to the research in several recently discovered and actively developing mathematical and mathematical physics areas. It focuses on: 1) Feynman integrals and modular functions, 2) hyperbolic and Lorentzian Kac-Moody algebras, related automorphic forms and applications to quantum gravity, 3) superconformal indices and elliptic hypergeometric integrals, related instanton partition functions, 4) moonshine, its arithmetic aspects, Jacobi forms, elliptic genus, and string theory, and 5) theory and applications of the elliptic Painleve equation, and aspects of Painleve equations in quantum field theories. All the topics covered are related to various partition functions emerging in different supersymmetric and ordinary quantum field theories in curved space-times of different (d=2,3,…,6) dimensions. Presenting multidisciplinary methods (localization, Borcherds products, theory of special functions, Cremona maps, etc) for treating a range of partition functions, the book is intended for graduate students and young postdocs interested in the interaction between quantum field theory and mathematics related to automorphic forms, representation theory, number theory and geometry, and mirror symmetry.



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De la contraportada

This book offers an introduction to the research in several recently discovered and actively developing mathematical and mathematical physics areas. It focuses on: 1) Feynman integrals and modular functions, 2) hyperbolic and Lorentzian Kac-Moody algebras, related automorphic forms and applications to quantum gravity, 3) superconformal indices and elliptic hypergeometric integrals, related instanton partition functions, 4) moonshine, its arithmetic aspects, Jacobi forms, elliptic genus, and string theory, and 5) theory and applications of the elliptic Painleve equation, and aspects of Painleve equations in quantum field theories. All the topics covered are related to various partition functions emerging in different supersymmetric and ordinary quantum field theories in curved space-times of different (d=2,3,…,6) dimensions. Presenting multidisciplinary methods (localization, Borcherds products, theory of special functions, Cremona maps, etc) for treating a range of partition functions, the book is intended for graduate students and young postdocs interested in the interaction between quantum field theory and mathematics related to automorphic forms, representation theory, number theory and geometry, and mirror symmetry.


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Editorial
Springer
Año de publicación
2021
Idioma
Inglés
ISBN 10 
3030424022
ISBN 13 
9783030424022
Encuadernación
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Número de edición
1
Número de páginas
432
Editor
Gritsenko Valery A., Spiridonov Vyacheslav P.
Contacto del fabricante
Springer Nature Customer Service Center GmbH
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Europaplatz 3
Heidelberg
69115
Alemania

Otras ediciones populares con el mismo título

9783030423995: Partition Functions and Automorphic Forms: 5 (Moscow Lectures)

Edición Destacada

ISBN 10:  3030423999 ISBN 13:  9783030423995
Editorial: Springer, 2020
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