Bimodules Associated to Twisted Modules of Vertex Operator Algebras and Fusion Rules

Algebra Colloquium 2026 Open access

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Authors: Yiyi Zhu
DOI: 10.1142/s1005386726000076
Cited by: 0

Abstract

Let [Formula: see text] be a vertex operator algebra, [Formula: see text] be in [Formula: see text] and [Formula: see text] for [Formula: see text] be a [Formula: see text]-twisted module, where [Formula: see text] are commuting automorphisms of [Formula: see text] such that [Formula: see text] for [Formula: see text] and [Formula: see text]. Suppose [Formula: see text] is an intertwining operator of type [Formula: see text]. We construct an [Formula: see text]-[Formula: see text]-bimodule [Formula: see text] which determines the action of [Formula: see text] from the bottom level of [Formula: see text] to the bottom level of [Formula: see text], and we explore its connections with fusion rules.

Fields of Study & Subjects

Algebraic structures and combinatorial models Advanced Topics in Algebra Advanced Operator Algebra Research

Publication details

Journal / source
Algebra Colloquium
Publisher
World Scientific Pub Co Pte Ltd
Volume
33
Issue
01
Pages
41–60
Publication date
27 February 2026
Language
EN