T-duality with H-flux: non-commutativity, T-folds and G x G structure
| dc.creator | Grange, Pascal | |
| dc.creator | Schafer-Nameki, Sakura | |
| dc.date | 2006-09-12 | |
| dc.date | 2006-09-27 | |
| dc.date.accessioned | 2026-07-07T11:27:39Z | |
| dc.date.available | 2026-07-07T11:27:39Z | |
| dc.description | Various approaches to T-duality with NSNS three-form flux are reconciled. Non-commutative torus fibrations are shown to be the open-string version of T-folds. The non-geometric T-dual of a three-torus with uniform flux is embedded into a generalized complex six-torus, and the non-geometry is probed by D0-branes regarded as generalized complex submanifolds. The non-commutativity scale, which is present in these compactifications, is given by a holomorphic Poisson bivector that also encodes the variation of the dimension of the world-volume of D-branes under monodromy. This bivector is shown to exist in SU(3) x SU(3) structure compactifications, which have been proposed as mirrors to NSNS-flux backgrounds. The two SU(3)-invariant spinors are generically not parallel, thereby giving rise to a non-trivial Poisson bivector. Furthermore we show that for non-geometric T-duals, the Poisson bivector may not be decomposable into the tensor product of vectors. | |
| dc.description | 25 pages, LaTeX; v2: typos corrected, references added | |
| dc.identifier | https://arxiv.org/abs/hep-th/0609084 | |
| dc.identifier | http://arxiv.org/abs/hep-th/0609084 | |
| dc.identifier | Nucl.Phys.B770:123-144,2007 | |
| dc.identifier | doi:10.1016/j.nuclphysb.2007.02.003 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/196209 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | T-duality with H-flux: non-commutativity, T-folds and G x G structure | |
| dc.type | text |