String Path Integral Realization of Vertex Operator Algebras - Brossura

Tsukada, Haruo

 
9780821825105: String Path Integral Realization of Vertex Operator Algebras
Brossura
ISBN 10: 0821825100 ISBN 13: 9780821825105
Casa editrice: Amer Mathematical Society, 1991

Sinossi

Affine Kac-Moody algebras are natural generalizations of finite-dimensional simple Lie algebras, and they have many important applications, such as the Rogers-Ramanujan identities and soliton equations. The aim of this book is to establish relations between vertex operator algebras in mathematics and the string path integrals of physics. The author realizes representation spaces of vertex operator algebras as spaces of functionals on functions on a circle. Integral kernels of products of vertex operators are interpreted as string path integrals over cylinders. Their traces are interpreted as string path integrals over elliptic curves. The book provides readers with background in vertex operator algebras and in the basic techniques of string path integrals.

Le informazioni nella sezione "Riassunto" possono far riferimento a edizioni diverse di questo titolo.

Contenuti

Vertex operator algebras: Fock spaces; Vertex operators; Representations; Geometric realization of vertex operator algebras; Functional realization of Fock spaces; Function spaces of Reimann surfaces; Geometric realization of vertex operators; Analytic Realization of vertex operator algebras; Zeta-regularization; Zeta-regularized determinants on cylinders and elliptic curves; String path integrals over cylinders and elliptic curves.

Product Description

Book by Tsukada Haruo

Le informazioni nella sezione "Su questo libro" possono far riferimento a edizioni diverse di questo titolo.

Editore
Amer Mathematical Society
Data di pubblicazione
1991
Lingua
Inglese
ISBN 10 
0821825100
ISBN 13 
9780821825105
Rilegatura
Copertina flessibile
Numero di pagine
138
Contatto del produttore
non disponibile
Persona responsabile
non disponibile