Cargando…
Elliptic genera and vertex operator super-algebras
This monograph deals with two aspects of the theory of elliptic genus: its topological aspect involving elliptic functions, and its representation theoretic aspect involving vertex operator super-algebras. For the second aspect, elliptic genera are shown to have the structure of modules over certain...
Autor principal: | |
---|---|
Lenguaje: | eng |
Publicado: |
Springer
1999
|
Materias: | |
Acceso en línea: | https://dx.doi.org/10.1007/BFb0092541 http://cds.cern.ch/record/1691603 |
_version_ | 1780935789377486848 |
---|---|
author | Tamanoi, Hirotaka |
author_facet | Tamanoi, Hirotaka |
author_sort | Tamanoi, Hirotaka |
collection | CERN |
description | This monograph deals with two aspects of the theory of elliptic genus: its topological aspect involving elliptic functions, and its representation theoretic aspect involving vertex operator super-algebras. For the second aspect, elliptic genera are shown to have the structure of modules over certain vertex operator super-algebras. The vertex operators corresponding to parallel tensor fields on closed Riemannian Spin Kähler manifolds such as Riemannian tensors and Kähler forms are shown to give rise to Virasoro algebras and affine Lie algebras. This monograph is chiefly intended for topologists and it includes accounts on topics outside of topology such as vertex operator algebras. |
id | cern-1691603 |
institution | Organización Europea para la Investigación Nuclear |
language | eng |
publishDate | 1999 |
publisher | Springer |
record_format | invenio |
spelling | cern-16916032021-04-21T21:08:36Zdoi:10.1007/BFb0092541http://cds.cern.ch/record/1691603engTamanoi, HirotakaElliptic genera and vertex operator super-algebrasMathematical Physics and MathematicsThis monograph deals with two aspects of the theory of elliptic genus: its topological aspect involving elliptic functions, and its representation theoretic aspect involving vertex operator super-algebras. For the second aspect, elliptic genera are shown to have the structure of modules over certain vertex operator super-algebras. The vertex operators corresponding to parallel tensor fields on closed Riemannian Spin Kähler manifolds such as Riemannian tensors and Kähler forms are shown to give rise to Virasoro algebras and affine Lie algebras. This monograph is chiefly intended for topologists and it includes accounts on topics outside of topology such as vertex operator algebras.Springeroai:cds.cern.ch:16916031999 |
spellingShingle | Mathematical Physics and Mathematics Tamanoi, Hirotaka Elliptic genera and vertex operator super-algebras |
title | Elliptic genera and vertex operator super-algebras |
title_full | Elliptic genera and vertex operator super-algebras |
title_fullStr | Elliptic genera and vertex operator super-algebras |
title_full_unstemmed | Elliptic genera and vertex operator super-algebras |
title_short | Elliptic genera and vertex operator super-algebras |
title_sort | elliptic genera and vertex operator super-algebras |
topic | Mathematical Physics and Mathematics |
url | https://dx.doi.org/10.1007/BFb0092541 http://cds.cern.ch/record/1691603 |
work_keys_str_mv | AT tamanoihirotaka ellipticgeneraandvertexoperatorsuperalgebras |