A generalization of twisted modules over vertex algebras
Abstract
We introduce a notion of a (V,T)-module over a vertex algebra V for an arbitrary positive integer T, which is a generalization of a twisted V-module. Under some conditions on V, we construct an associative algebra ATm(V) for m∈(1/T) and an ATm(V)-ATn(V)-bimodule ATn,m(V) for n,m∈(1/T) and we establish a one-to-one correspondence between the set of isomorphism classes of simple left AT0(V)-modules and that of simple (1/T)-graded (V,T)-modules.
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