Twisted modules for vertex algebras associated with vertex algebroids

Haisheng Li and Gaywalee Yamskulna

Vol. 229 (2007), No. 1, 199–222

DOI: 10.2140/pjm.2007.229.199

Abstract

We continue the work in our earlier paper, “On certain vertex algebras and their modules associated with vertex algebroids”, J. Algebra 283 (2005), 367–398, to construct and classify graded simple twisted modules for the ℕ-graded vertex algebras constructed by Gorbounov, Malikov and Schechtman from vertex algebroids. In addition, we determine the full automorphism groups of those ℕ-graded vertex algebras in terms of the automorphism groups of the corresponding vertex algebroids.

Keywords

vertex algebra, twisted module, vertex algebroid

Mathematical Subject Classification 2000

Primary: 17B69

Secondary: 17B67

Milestones

Received: 13 January 2006

Accepted: 15 January 2006

Published: 1 January 2007