Construction and classification of holomorphic vertex operator algebras-Reference-Cited by-同舟云学术

Construction and classification of holomorphic vertex operator algebras

Published:2020-02-01 Issue:759 Volume:2020 Page:61-99
ISSN:1435-5345
Container-title:Journal für die reine und angewandte Mathematik (Crelles Journal)
language:
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Author:

van Ekeren Jethro¹,Möller Sven²,Scheithauer Nils R.³

Affiliation:

1. Instituto de Matemática e Estatistica, Universidade Federal Fluminense, Bloco H – Campus do Gragoatá, Niterói, RJ 24.210-201, Brazil

2. Department of Mathematics, Rutgers University, 110 Frelinghuysen Road, Piscataway, NJ 08854-8019, USA

3. Fachbereich Mathematik, Technische Universität Darmstadt, Schloßgartenstr. 7, 64289Darmstadt, Germany

Abstract

AbstractWe develop an orbifold theory for finite, cyclic groups acting on holomorphic vertex operator algebras. Then we show that Schellekens’ classification of

{V_{1}}

-structures of meromorphic conformal field theories of central charge 24 is a theorem on vertex operator algebras. Finally, we use these results to construct some new holomorphic vertex operator algebras of central charge 24 as lattice orbifolds.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/crelle-2017-0046/pdf

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