$G_2$ Manifolds, Mirror Symmetry and Geometric Engineering
| dc.creator | Aganagic, Mina | |
| dc.creator | Vafa, Cumrun | |
| dc.date | 2001-10-18 | |
| dc.date.accessioned | 2026-07-07T04:12:32Z | |
| dc.date.available | 2026-07-07T04:12:32Z | |
| dc.description | We construct Calabi-Yau geometries with wrapped D6 branes which realize ${\cal N}=1$ supersymmetric $A_r$ quiver theories, and study the corresponding geometric transitions. This also yields new large $N$ dualities for topological strings generalizing topological strings/large $N$ Chern-Simons duality. Lifting up to M-theory yields smooth quantum geometric transitions without branes or fluxes, in the context of $G_2$ holonomy manifolds. In addition we construct a linear sigma model realization which is relevant for the worldsheet theory of superstrings propagating in local manifolds with $G_2$ holonomy, and obtain mirror geometries for this class of supersymmetric sigma models. | |
| dc.description | 35 pages, harvmac | |
| dc.identifier | https://arxiv.org/abs/hep-th/0110171 | |
| dc.identifier | http://arxiv.org/abs/hep-th/0110171 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/50935 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | $G_2$ Manifolds, Mirror Symmetry and Geometric Engineering | |
| dc.type | text |