T-duality of current algebras and their quantization

Abstract

In this paper we show that the T-duality transform of Bouwknegt, Evslin and Mathai applies to determine isomorphisms of certain current algebras and their associated vertex algebras on topologically distinct T-dual spacetimes compactified to circle bundles with $H$-flux.

21 pages. 3 references added and to appear in Contemp. Math