F-theory Duals of M-theory on G2 Manifolds from Mirror Symmetry
| dc.creator | Belhaj, Adil | |
| dc.date | 2002-07-23 | |
| dc.date | 2003-02-22 | |
| dc.date.accessioned | 2026-07-07T10:49:25Z | |
| dc.date.available | 2026-07-07T10:49:25Z | |
| dc.description | Using mirror pairs (M_3, W_3) in type II superstring compactifications on Calabi-Yau threefolds, we study, geometrically, F-theory duals of M-theory on seven manifolds with G_2 holonomy. We first develop a way for getting Landau Ginzburg (LG) Calabi-Yau threefols W_3, embedded in four complex dimensional toric varieties, mirror to sigma model on toric Calabi-Yau threefolds M_3. This method gives directly the right dimension without introducing non dynamical variables. Then, using toric geometry tools, we discuss the duality between M-theory on (S^1 x M_3)/Z_2 with G_2 holonomy and F-theory on elliptically fibered Calabi-Yau fourfolds with SU(4) holonomy, containing W_3 mirror manifolds. Illustrating examples are presented. | |
| dc.description | 25 pages, latex. Section 2 is deleted; some clarifications and references added. Final version accepted in J. Phys.A: Math.Gen. (2003) | |
| dc.identifier | https://arxiv.org/abs/hep-th/0207208 | |
| dc.identifier | http://arxiv.org/abs/hep-th/0207208 | |
| dc.identifier | J.Phys.A36:4191-4206,2003 | |
| dc.identifier | doi:10.1088/0305-4470/36/14/319 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/184213 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | F-theory Duals of M-theory on G2 Manifolds from Mirror Symmetry | |
| dc.type | text |