Calibrated cycles and T-duality
| dc.creator | Gmeiner, Florian | |
| dc.creator | Witt, Frederik | |
| dc.date | 2006-05-29 | |
| dc.date | 2008-08-23 | |
| dc.date.accessioned | 2026-07-07T11:59:50Z | |
| dc.date.available | 2026-07-07T11:59:50Z | |
| dc.description | For Hitchin's generalised geometries we introduce and analyse the concept of a structured submanifold which encapsulates the classical notion of a calibrated submanifold. Under a suitable integrability condition on the ambient geometry, these generalised calibrated cycles minimise a functional occurring as D-brane energy in type II string theories, involving both so-called NS-NS- and R-R-fields. Further, we investigate the behaviour of calibrated cycles under T-duality and construct non-trivial examples. | |
| dc.description | 43 pages. v4: formalism and T-duality part considerably expanded | |
| dc.identifier | https://arxiv.org/abs/math/0605710 | |
| dc.identifier | http://arxiv.org/abs/math/0605710 | |
| dc.identifier | Commun.Math.Phys.283:543-578,2008 | |
| dc.identifier | doi:10.1007/s00220-008-0571-9 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/206706 | |
| dc.subject | Differential Geometry | |
| dc.subject | High Energy Physics - Theory | |
| dc.subject | 53C38, 53C10, 53C27, 81T30, 83E50 | |
| dc.title | Calibrated cycles and T-duality | |
| dc.type | text |