Simple Current Extensions of Tensor Products of Vertex Operator Algebras-Reference-Cited by-同舟云学术

Simple Current Extensions of Tensor Products of Vertex Operator Algebras

Published:2020-05-20 Issue:16 Volume:2021 Page:12778-12807
ISSN:1073-7928
Container-title:International Mathematics Research Notices
language:en
Short-container-title:

Author:

Yamada Hiromichi¹,Yamauchi Hiroshi²

Affiliation:

1. Department of Mathematics, Hitotsubashi University, Kunitachi, Tokyo 186-8601, Japan

2. Department of Mathematics, Tokyo Woman’s Christian University, Suginami-ku, Tokyo 167-8585, Japan

Abstract

Abstract We study simple current extensions of tensor products of two vertex operator algebras satisfying certain conditions. We establish the relationship between the fusion rule for the simple current extension and the fusion rule for a tensor factor. In a special case, we construct a chain of simple current extensions. We discuss certain irreducible twisted modules for the simple current extension as well.

Funder

JSPS KAKENHI

Publisher

Oxford University Press (OUP)

Subject

General Mathematics

Link

https://academic.oup.com/imrn/article-pdf/2021/16/12778/42296754/rnaa107.pdf

Reference37 articles.

1. Rationality, regularity and $C_2$-cofiniteness;Abe;Trans. Amer. Math. Soc.,2004

2. Fusion rules for the vertex operator algebra $M(1)$ and $V_L^{+}$;Abe;Comm. Math. Phys.,2005

3. A family of regular vertex operator algebras with two generators;Adamović;Central European J. Math.,2007

4. The irreducible modules and fusion rules for the parafermion vertex operator algebras;Ai;Trans. Amer. Math. Soc.,2018

5. Cosets of Bershadsky–Polyakov algebras and rational $\mathcal{W}$-algebras of type a;Arakawa;Selecta Math. (N.S.),2017

Cited by 4 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Feigin–Semikhatov conjecture and related topics;International Journal of Modern Physics A;2023-08-30

2. On the semisimplicity of the category KL for affine Lie superalgebras;Advances in Mathematics;2022-08

3. Correspondences of Categories for Subregular $${{\mathcal {W}}}$$-Algebras and Principal $${\mathcal {W}}$$-Superalgebras;Communications in Mathematical Physics;2022-06-07

4. $\mathbb{Z}_k$-code vertex operator algebras;Journal of the Mathematical Society of Japan;2021-01-01