N=1 Special Geometry, Mixed Hodge Variations and Toric Geometry
| dc.creator | Lerche, W. | |
| dc.creator | Mayr, P. | |
| dc.creator | Warner, N. | |
| dc.date | 2002-08-06 | |
| dc.date.accessioned | 2026-07-07T04:13:57Z | |
| dc.date.available | 2026-07-07T04:13:57Z | |
| dc.description | We study the superpotential of a certain class of N=1 supersymmetric type II compactifications with fluxes and D-branes. We show that it has an important two-dimensional meaning in terms of a chiral ring of the topologically twisted theory on the world-sheet. In the open-closed string B-model, this chiral ring is isomorphic to a certain relative cohomology group V, which is the appropriate mathematical concept to deal with both the open and closed string sectors. The family of mixed Hodge structures on V then implies for the superpotential to have a certain geometric structure. This structure represents a holomorphic, N=1 supersymmetric generalization of the well-known N=2 special geometry. It defines an integrable connection on the topological family of open-closed B-models, and a set of special coordinates on the space \cal M of vev's in N=1 chiral multiplets. We show that it can be given a very concrete and simple realization for linear sigma models, which leads to a powerful and systematic method for computing the exact non-perturbative N=1 superpotentials for a broad class of toric D-brane geometries. | |
| dc.description | 40p, harvmac-b | |
| dc.identifier | https://arxiv.org/abs/hep-th/0208039 | |
| dc.identifier | http://arxiv.org/abs/hep-th/0208039 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/51450 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | N=1 Special Geometry, Mixed Hodge Variations and Toric Geometry | |
| dc.type | text |