Calabi-Yau 3-folds from 2-folds
| dc.creator | Fayyazuddin, Ansar | |
| dc.date | 2007-02-16 | |
| dc.date.accessioned | 2026-07-07T10:38:13Z | |
| dc.date.available | 2026-07-07T10:38:13Z | |
| dc.description | We consider type IIA string theory on a Calabi-Yau 2-fold with D6-branes wrapping 2-cycles in the 2-fold. We find a complete set of conditions on the supergravity solution for any given wrapped brane configuration in terms of SU(2) structures. We reduce the problem of finding a supergravity solution for the wrapped branes to finding a harmonic function on R$\times$CY$_2$. We then lift this solution to 11-dimensions as a product of R$^{(4.1)}$ and a Calabi-Yau 3-fold. We show how the metric on the 3-fold is determined in terms of the wrapped brane solution. We write down the distinguished (3,0) form and the K{ä}hler form of the 3-fold in terms of structures defined on the base 2-d complex manifold. We discuss the topology of the 3-fold in terms of the D6-branes and the underlying 2-fold. We show that in addition to the non-trivial cycles inherited from the underlying 2-fold there are $N-1$ new 2-cycles. We construct closed (1,1) forms corresponding to these new cycles. We also display some explicit examples. One of our examples is that of D6-branes wrapping the 2-cycle in an A$_1$ ALE space, the resulting 3-fold has $h^{(1,1)}=N$, where $N$ is the number of D6-branes. | |
| dc.description | 30 pages | |
| dc.identifier | https://arxiv.org/abs/hep-th/0702135 | |
| dc.identifier | http://arxiv.org/abs/hep-th/0702135 | |
| dc.identifier | Class.Quant.Grav.24:3151-3170,2007 | |
| dc.identifier | doi:10.1088/0264-9381/24/13/002 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/180642 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | Calabi-Yau 3-folds from 2-folds | |
| dc.type | text |