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

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.