Topological T-duality and T-folds
| dc.creator | Bouwknegt, Peter | |
| dc.creator | Pande, Ashwin S. | |
| dc.date | 2008-10-24 | |
| dc.date | 2008-10-30 | |
| dc.date.accessioned | 2026-07-07T10:13:48Z | |
| dc.date.available | 2026-07-07T10:13:48Z | |
| dc.description | We explicitly construct the C*-algebras arising in the formalism of Topological T-duality due to Mathai and Rosenberg from string-theoretic data in several key examples. We construct a continuous-trace algebra with an action of ${\mathbb R}^d$ unique up to exterior equivalence from the data of a smooth ${\mathbb T}^d$-equivariant gerbe on a trivial bundle $X = W \times {\mathbb T}^d$. We argue that the `noncommutative T-duals' of Mathai and Rosenberg, should be identified with the nongeometric backgrounds well-known in string theory. We also argue that the crossed-product C*-algebra ${\mathcal A} \rtimes_{α|_{\KZ^d}} {\mathbb Z}^d$ should be identified with the T-folds of Hull which geometrize these backgrounds. We identify the charge group of D-branes on T-fold backgrounds in the C*-algebraic formalism of Topological T-duality. We also study D-branes on T-fold backgrounds. We show that the $K$-theory bundles studied by Echterhoff, Nest and Oyono-Oyono give a natural description of these objects. | |
| dc.description | 18 pages, no figures, uses xypic, minor typos corrected | |
| dc.identifier | https://arxiv.org/abs/0810.4374 | |
| dc.identifier | http://arxiv.org/abs/0810.4374 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/172660 | |
| dc.subject | High Energy Physics - Theory | |
| dc.subject | Mathematical Physics | |
| dc.subject | Operator Algebras | |
| dc.title | Topological T-duality and T-folds | |
| dc.type | text |