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

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Cited by in corpus (4)

• Causality and existence of solutions of relativistic viscous fluid dynamics with gravity
• String geometry vs. spin geometry on loop spaces
• Twisted chiral de Rham complex, generalized geometry, and T-duality
• Exotic Courant algebroids and T-duality