Deligne Cohomology for Orbifolds, discrete torsion and B-fields
| dc.creator | Lupercio, Ernesto | |
| dc.creator | Uribe, Bernardo | |
| dc.date | 2002-01-23 | |
| dc.date | 2002-04-25 | |
| dc.date.accessioned | 2026-07-25T21:05:47Z | |
| dc.description | In this paper we introduce the concept of Deligne cohomology of an orbifold. We prove that the third Deligne cohomology group of a smooth étale groupoid classify gerbes with connection over the groupoid. We argue that the $B$-field and the discrete torsion in type II superstring theories are special kinds of gerbes with connection, and finally, for each one of them, using Deligne cohomology we construct a flat line bundle over the inertia groupoid, namely a Ruan inner local in the case of an orbifold. | |
| dc.description | To be published in the Proceedings of the Summer School "Geometric and Topological methods for Quantum Field Theory", Villa de Leyva, Colombia (2001) | |
| dc.identifier | https://arxiv.org/abs/hep-th/0201184 | |
| dc.identifier | http://arxiv.org/abs/hep-th/0201184 | |
| dc.identifier.uri | https://dspace.dare.co.zw/handle/123456789/76156 | |
| dc.subject | High Energy Physics - Theory | |
| dc.subject | Algebraic Geometry | |
| dc.subject | Algebraic Topology | |
| dc.subject | Differential Geometry | |
| dc.subject | Geometric Topology | |
| dc.title | Deligne Cohomology for Orbifolds, discrete torsion and B-fields | |
| dc.type | text |