Partition Functions and Automorphic Forms

Name: Partition Functions and Automorphic Forms
Brand: Springer Nature Switzerland AG
SKU: 9783030423995
Price: 20080 HUF
Availability: InStock

Szerző: Vyacheslav P. Spiridonov, Valery Gritsenko

Nyelv:

Kötés: Kemény kötésű

Kiadó: Springer Nature Switzerland AG

Elérhetőség: Beszállítói készleten

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This volume is a pedagogical research introduction to several recently discovered and actively devel...

Információk a könyvről

Szerző

Vyacheslav P. Spiridonov, Valery Gritsenko

Nyelv

Angol

Kötés

Könyv - Kemény kötésű

Kiadva

2020

oldal

415

EAN

9783030423995

Enbook ID

25610261

Kiadó

Springer Nature Switzerland AG

Súly

811

Méretek

155 x 235 x 29

Teljes leírás

This volume is a pedagogical research introduction to several recently discovered and actively developing mathematical and mathematical physics subjects. The main benefiting audience consists of graduate students and young postdocs interested in interaction between quantum field theory and mathematics related to automorphic forms, representation theory, number theory and geometry, and mirror symmetry. The main subjects of the book are: 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, 5) theory and applications of the elliptic Painleve equation, aspects of Painleve equations in quantum field theories. All these topics are unified in the sense that all of them 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. The reader should be interested to see different multidisciplinary methods (localization, Borcherds products, theory of special functions, Cremona maps, etc) targeted at treating partition functions of interest.

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Partition Functions and Automorphic Forms

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