T-duality, Gerbes and Loop Spaces
| dc.creator | Belov, Dmitriy M. | |
| dc.creator | Hull, Chris M. | |
| dc.creator | Minasian, Ruben | |
| dc.date | 2007-10-26 | |
| dc.date.accessioned | 2026-07-07T08:38:53Z | |
| dc.date.available | 2026-07-07T08:38:53Z | |
| dc.description | We revisit sigma models on target spaces given by a principal torus fibration $X\to M$, and show how treating the 2-form B as a gerbe connection captures the gauging obstructions and the global constraints on the T-duality. We show that a gerbe connection on X, which is invariant with respect to the torus action, yields an affine double torus fibration Y over the base space M - the generalization of the correspondence space. We construct a symplectic form on the cotangent bundle to the loop space LY and study the relation of its symmetries to T-duality. We find that geometric T-duality is possible if and only if the torus symmetry is generated by Hamiltonian vector fields. Put differently, the obstruction to T-duality is the non-Hamiltonian action of the symmetry group. | |
| dc.description | 32 pages, 5 figures, | |
| dc.identifier | https://arxiv.org/abs/0710.5151 | |
| dc.identifier | http://arxiv.org/abs/0710.5151 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/140890 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | T-duality, Gerbes and Loop Spaces | |
| dc.type | text |