T-duality of current algebras and their quantization. (English) Zbl 1317.81151
Aldana, Clara L. (ed.) et al., Analysis, geometry and quantum field theory. International conference in honor of Steve Rosenberg’s 60th birthday, Potsdam, Germany, September 26–30, 2011. Proceedings. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-9144-5/pbk). Contemporary Mathematics 584, 17-37 (2012).
Summary: We show that the T-duality transform of Bouwknegt, Evslin and Mathai [P. Bouwknegt et al., Commun. Math. Phys. 249, No. 2, 383–415 (2004; Zbl 1062.81119)] 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.
For the entire collection see [Zbl 1256.00016].
For the entire collection see [Zbl 1256.00016].
MSC:
| 81R10 | Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, \(W\)-algebras and other current algebras and their representations |
| 53D18 | Generalized geometries (à la Hitchin) |
| 81T30 | String and superstring theories; other extended objects (e.g., branes) in quantum field theory |
| 17B63 | Poisson algebras |
| 17B69 | Vertex operators; vertex operator algebras and related structures |
