Multiple "parallel" D-branes seen as leaves of foliations and Duminy's theorem
| dc.creator | Zois, Ioannis P. | |
| dc.date | 2000-11-25 | |
| dc.date.accessioned | 2026-07-07T04:10:59Z | |
| dc.date.available | 2026-07-07T04:10:59Z | |
| dc.description | We try to give a qualitative description of the Godbillon-Vey class and its relation on the one hand to the holonomy and on the other hand to the topological entropy of a foliation, using a remarkable theorem proved recently by G. Duminy (which still remains unpublished), relating these three notions in the case of codim-1 foliations. Moreover we shall investigate its possible consequences on string theory. In particular we shall present a conceptual argument according to which the curvature of the B-field (rank two antisymmetric tensor) of open strings might be related to the Godbillon-Vey class using a suitable generalisation of ``Non-Abelian Geometry'' which has just appeared in physics literature. Our starting point again is the Connes-Douglas-Schwarz article on compactifications of matrix models to noncommutative tori. | |
| dc.description | 39 pages, TeX | |
| dc.identifier | https://arxiv.org/abs/hep-th/0011228 | |
| dc.identifier | http://arxiv.org/abs/hep-th/0011228 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/50407 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | Multiple "parallel" D-branes seen as leaves of foliations and Duminy's theorem | |
| dc.type | text |