Heterotic String/F-theory Duality from Mirror Symmetry
| dc.creator | Berglund, P. | |
| dc.creator | Mayr, P. | |
| dc.date | 1998-11-25 | |
| dc.date | 1999-04-15 | |
| dc.date.accessioned | 2026-07-07T11:48:13Z | |
| dc.date.available | 2026-07-07T11:48:13Z | |
| dc.description | We use local mirror symmetry in type IIA string compactifications on Calabi-Yau n+1 folds $X_{n+1}$ to construct vector bundles on (possibly singular) elliptically fibered Calabi-Yau n-folds Z_n. The interpretation of these data as valid classical solutions of the heterotic string compactified on Z_n proves F-theory/heterotic duality at the classical level. Toric geometry is used to establish a systematic dictionary that assigns to each given toric n+1-fold $X_{n+1}$ a toric n fold Z_n together with a specific family of sheafs on it. This allows for a systematic construction of phenomenologically interesting d=4 N=1 heterotic vacua, e.g. on deformations of the tangent bundle, with grand unified and SU(3)\times SU(2) gauge groups. As another application we find non-perturbative gauge enhancements of the heterotic string on singular Calabi-Yau manifolds and new non-perturbative dualities relating heterotic compactifications on different manifolds. | |
| dc.description | 63 pages, harvmac, 2 figures, v2: references added, extended explanations on non-perturbative five-branes and the identification of a line bundle $\cal N$ that is an important characteristic of the gauge background $V$ | |
| dc.identifier | https://arxiv.org/abs/hep-th/9811217 | |
| dc.identifier | http://arxiv.org/abs/hep-th/9811217 | |
| dc.identifier | Adv.Theor.Math.Phys.2:1307-1372,1999 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/202846 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | Heterotic String/F-theory Duality from Mirror Symmetry | |
| dc.type | text |