Genera of Vertex Operator Algebras and three dimensional Topological Quantum Field Theories

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

The notion of the genus of a quadratic form is generalized to vertex operator algebras. We define it as the modular braided tensor category associated to a suitable vertex operator algebra together with the central charge. Statements similar as known for quadratic forms are formulated. We further explain how extension problems for vertex operator algebras can bedescribed in terms of the associated modular braided tensor category.
20 pages, one figure, latex; a few misprints corrected

Keywords

Quantum Algebra, Number Theory

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/65067

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0209333
 http://arxiv.org/abs/math/0209333
 Vertex operator algebras in mathematics and physics (Toronto, ON, 2000), 89--107, Fields Inst. Commun., 39, Amer. Math. Soc., Providence, RI, 2003.

Collections

arXiv