Twisted modules for vertex algebras associated with vertex algebroids

Twisted modules for vertex algebras associated with vertex algebroids

We continue with [LY] to construct and classify graded simple twisted modules for the N-graded vertex algebras constructed by Gorbounov, Malikov and Schechtman from vertex algebroids. Meanwhile we determine the full automorphism groups of those N-graded vertex algebras in terms of the automorphism groups of the corresponding vertex algebroids.

Twisted modules for vertex operator algebras

In this contribution, I explain the general principles of twisted modules for vertex operator algebras in its powerful formulation using formal series, and derive new general relations satisfied by twisted and non-twisted vertex operators. I prove new “equivalence” and “construction” theorems, identifying a very restricted set of sufficient conditions in order to have a twisted module for a ver...

On certain vertex algebras and their modules associated with vertex algebroids

We study the family of vertex algebras associated with vertex algebroids, constructed by Gorbounov, Malikov, and Schechtman. As the main result, we classify all the (graded) simple modules for such vertex algebras and we show that the equivalence classes of graded simple modules one-to-one correspond to the equivalence classes of simple modules for the Lie algebroids associated with the vertex ...

Twisted Modules over Lattice Vertex Algebras

A vertex algebra is essentially the same as a chiral algebra in conformal field theory [2, 10]. Vertex algebras arose naturally in the representation theory of infinite-dimensional Lie algebras and in the construction of the “moonshine module” for the Monster finite simple group [3, 9]. If V is a vertex algebra and Γ is a finite group of automorphisms of V , the subalgebra V Γ of Γ-invariant el...

Some Twisted Modules for Framed Vertex Operator Algebras