ABE-IPSABE HOLDINGABE BOOKS
English Polski
Dostęp on-line

Książki

0.00 PLN
Schowek (0) 
Schowek jest pusty
Partition Functions and Automorphic Forms

Partition Functions and Automorphic Forms

Wydawnictwo Springer Nature Customer Service Center GmbH
Data wydania 2020
Wydanie Pierwsze
Liczba stron 415
Forma publikacji książka w twardej oprawie
Poziom zaawansowania Dla profesjonalistów, specjalistów i badaczy naukowych
Język angielski
ISBN 9783030423995
Kategorie modelowanie matematyczne
706.00 PLN (z VAT)
$158.81 / €151.37 / £131.40 /
Produkt dostępny
Dostawa 7 dni
Ilość
Do schowka

Opis książki

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.

Partition Functions and Automorphic Forms

Spis treści

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 Painleve equation.

Polecamy również książki

Strony www Białystok Warszawa
801 777 223