What question did this study set out to answer?

The study aims to construct a bimodule associated with twisted modules of vertex operator algebras and analyze its connections to fusion rules.

February 28, 2026Algebra Colloquium0 citations

View Full Paper

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

YZYiyi ZhuGuangdong University of Technology

Key Points

The study aims to construct a bimodule associated with twisted modules of vertex operator algebras and analyze its connections to fusion rules.
Construct an intertwining operator of type associated with vertex operator algebras.
Define a bimodule to represent the action from the bottom level of one module to another.
Explore the implications of this bimodule on fusion rules.
A new bimodule is established that elucidates the action of twisted modules.
Connections to fusion rules are highlighted, suggesting deeper structural properties of vertex operator algebras.

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.

AI에게 질문

Bookmark

View Full Paper

AI에게 질문

Bookmark

View Full Paper

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

Key Points

Abstract

Cite This Study