| Dewey Class |
512.73 |
| Title |
Partition Functions and Automorphic Forms ([EBook]) / edited by Valery A. Gritsenko, Vyacheslav P. Spiridonov. |
| Added Personal Name |
Gritsenko, Valery A. |
| Spiridonov, Vyacheslav P. |
| Other name(s) |
SpringerLink (Online service) |
| Edition statement |
1st ed. 2020. |
| Publication |
Cham : Springer International Publishing , 2020. |
| Physical Details |
XIII, 415 p. 31 illus., 11 illus. in color. : online resource. |
| Series |
Moscow Lectures 2522-0314 ; ; 5 |
| ISBN |
9783030424008 |
| Summary Note |
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.: |
| Contents note |
A short introduction to the algebra, geometry, number theory and physics of moonshine -- Modified elliptic genus -- Superconformal indices and instanton partition functions -- On spinorial representations of involutory subalgebras of Kac-Moody algebras -- BPS spectra and invariants for three- and four-manifolds -- Introduction to the theory of elliptic hypergeometric integrals -- Feynman integrals and mirror symmetry -- Theory and applications of the elliptic Painlevé equation. |
| Mode of acces to digital resource |
Digital book. Cham Springer Nature 2020. - Mode of access: World Wide Web. System requirements: Internet Explorer 6.0 (or higher) or Firefox 2.0 (or higher). Available as searchable text in PDF format |
| System details note |
- Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users). |
| Internet Site |
https://doi.org/10.1007/978-3-030-42400-8 |
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