D-Branes, RR-Fields and Duality on Noncommutative Manifolds
| dc.creator | Brodzki, Jacek | |
| dc.creator | Mathai, Varghese | |
| dc.creator | Rosenberg, Jonathan | |
| dc.creator | Szabo, Richard J. | |
| dc.date | 2006-07-04 | |
| dc.date | 2007-06-26 | |
| dc.date.accessioned | 2026-07-07T11:27:32Z | |
| dc.date.available | 2026-07-07T11:27:32Z | |
| dc.description | We develop some of the ingredients needed for string theory on noncommutative spacetimes, proposing an axiomatic formulation of T-duality as well as establishing a very general formula for D-brane charges. This formula is closely related to a noncommutative Grothendieck-Riemann-Roch theorem that is proved here. Our approach relies on a very general form of Poincare duality, which is studied here in detail. Among the technical tools employed are calculations with iterated products in bivariant K-theory and cyclic theory, which are simplified using a novel diagram calculus reminiscent of Feynman diagrams. | |
| dc.description | 56 pages; v3: final version, to appear in CMP | |
| dc.identifier | https://arxiv.org/abs/hep-th/0607020 | |
| dc.identifier | http://arxiv.org/abs/hep-th/0607020 | |
| dc.identifier | Commun.Math.Phys.277:643-706,2008 | |
| dc.identifier | doi:10.1007/s00220-007-0396-y | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/196173 | |
| dc.subject | High Energy Physics - Theory | |
| dc.subject | K-Theory and Homology | |
| dc.title | D-Branes, RR-Fields and Duality on Noncommutative Manifolds | |
| dc.type | text |