Refining twisted bimodules associated to VOAs

2025/05/25 by Shiwei Xu, Xu, Shun, Jianzhi Han +1 · 1 citation
Computer Science · #Constraint Satisfaction and Optimization #Data Management and Algorithms #FOS: Mathematics #Quantum Algebra (math.QA) #Rough Sets and Fuzzy Logic

paper · pdf · doi:10.48550/arxiv.2505.19162

openalex publication_date 2025/05/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Let V be a vertex operator algebra and g an automorphism of V of finite order T. For any m, n ∈(1/T) \mathbb N, an A_g,n(V) - A_g,m(V) bimodule A_{g,n, m}(V)=V/O_g,n,m(V) was defined by Dong and Jiang, where O_g,n,m(V) is the sum of three certain subspaces O_{g,n, m}^′(V), O_{g,n, m}^{′ ′}(V) and O_{g,n, m}^{′ ′ ′}(V). In this paper, we show that O_{g,n, m}(V)=O_{g,n, m}^′(V).

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