On Z₂-twisted representation of vertex operator superalgebras and the Ising model SVOA

2002/03/08 by Hiroshi Yamauchi, Yamauchi, Hiroshi
Mathematics · Physics and Astronomy · #17B69 #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Nonlinear Waves and Solitons #Quantum Algebra (math.QA) #math.QA #msc:17B69

paper · pdf · doi:10.48550/arxiv.math/0203086

Latex2e 26pages. This paper is my draft of my speach which will be given at the conference of MSJ on 28 March 2002

openalex publication_date 2002/03/08 · arxiv created 2002/03/18 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We investigate a general theory of the Z₂-twisted representations of vertex operator superalgebras. Certain one-to-one correspondence theorems are established. We also give an explicit realization of the Ising model SVOA and its Z₂-twisted modules. As an application, we obtain the Gerald Hoehn's Babymonster SVOA VB and its Z₂-twisted module VB_tw from the moonshine VOA V^\nat by cutting off the Ising models. It is also shown in this paper that Aut (VB) is finite.

Citations

• Symmetric invariant bilinear forms on vertex operator algebras

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