Refining twisted bimodules associated to VOAs

Q: What type of study is this?

This is a Quantitative Study study.

Shiwei Xu; Jianzhi Han

doi:10.48550/arxiv.2505.19162

May 25, 2025Open Access

Refining twisted bimodules associated to VOAs

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Key Points

The main finding shows that $O_{g,n, m}(V)$ simplifies to $O_{g,n, m}^{ ext{prime}}(V)$, enhancing the understanding of bimodules in this context.
Key evidence reveals that this simplification directly impacts the associated bimodule structure, providing new insights into $A_{g,n,m}(V)$.
The approach involves defining and analyzing the relationships between various constructions within vertex operator algebras.
This result highlights significant implications for further studies on vertex operator algebras and their associated structures.

Implication

The study demonstrates that the refined structure of bimodules shows equivalence in specified subspaces, indicating deeper algebraic relationships.

Abstract

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

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Cite This Study

Xu et al. (2025) studied this question.

synapsesocial.com/papers/68da58e0c1728099cfd117ae https://doi.org/10.48550/arxiv.2505.19162

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Refining twisted bimodules associated to VOAs

Key Points

Implication

Abstract

Discussion

Cite This Study

Refining twisted bimodules associated to VOAs

Key Points

Implication

Abstract

Discussion

Cite This Study

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