D-branes in a topologically nontrivial B-field
| dc.creator | Kapustin, Anton | |
| dc.date | 1999-09-14 | |
| dc.date | 1999-09-16 | |
| dc.date.accessioned | 2026-07-07T04:27:01Z | |
| dc.date.available | 2026-07-07T04:27:01Z | |
| dc.description | We study global worldsheet anomalies for open strings ending on several coincident D-branes in the presence of a B-field. We show that cancellation of anomalies is made possible by a correlation between the t'Hooft magnetic flux on the D-branes and the topological class of the B-field. One application of our results is a proper understanding of the geometric nature of the gauge field living on D-branes: rather than being a connection on a vector bundle, it is a connection on a module over a certain noncommutative algebra. Our argument works for a general closed string background. We also explain why in the presence of a topologically nontrivial B-field whose curvature is pure torsion D-branes represent classes in a twisted K-theory, as conjectured by E. Witten. | |
| dc.description | 24 pages, latex. v2: typos corrected, notation improved | |
| dc.identifier | https://arxiv.org/abs/hep-th/9909089 | |
| dc.identifier | http://arxiv.org/abs/hep-th/9909089 | |
| dc.identifier | Adv.Theor.Math.Phys. 4 (2000) 127-154 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/56267 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | D-branes in a topologically nontrivial B-field | |
| dc.type | text |