T-duality of current algebras and their quantization

Pedram Hekmati, Varghese Mathai

Published 2012-03-08, updated 2012-06-07Version 3

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.