Twisted Modules over Lattice Vertex Algebras
Abstract
Description
For any integral lattice $Q$, one can construct a vertex algebra $V_Q$ called a lattice vertex algebra. If $σ$ is an automorphism of $Q$ of finite order, it can be lifted to an automorphism of $V_Q$. In this paper we classify the irreducible $σ$-twisted $V_Q$-modules. We show that the category of $σ$-twisted $V_Q$-modules is a semisimple abelian category with finitely many isomorphism classes of simple objects.
Dedicated to Professor Ivan Todorov on the occasion of his 70th birthday. 18 pages (references added)
Dedicated to Professor Ivan Todorov on the occasion of his 70th birthday. 18 pages (references added)