Chiral differential operators on abelian varieties

Abstract

The paper consists of two parts. In the first, we describe a way of getting from an algebra of chiral differential operators (cdo) on an abelian variety a cdo on the dual variety. The second is an introduction to the sigma-model on a torus and to the Wess-Zumino-Witten model from the cdo perspective.

The paper is dedicated to Igor Frenkel on his birthday