Mirror Symmetry and Landau Ginzburg Calabi-Yau Superpotentials in F-theory Compactifications
| dc.creator | Belhaj, Adil | |
| dc.date | 2001-12-01 | |
| dc.date.accessioned | 2026-07-07T10:53:42Z | |
| dc.date.available | 2026-07-07T10:53:42Z | |
| dc.description | We study Landau Ginzburg (LG) theories mirror to 2D N=2 gauged linear sigma models on toric Calabi-Yau manifolds. We derive and solve new constraint equations for Landau Ginzburg elliptic Calabi-Yau superpotentials, depending on the physical data of dual linear sigma models. In Calabi-Yau threefolds case, we consider two examples. First, we give the mirror symmetry of the canonical line bundle over the Hirzebruch surfaces $\bf F_n$. Second, we find a special geometry with the affine so(8) Lie algebra toric data extending the geometry of elliptically fibered K3. This geometry leads to a pure N=1 six dimensional SO(8) gauge model from the F-theory compactification. For Calabi-Yau fourfolds, we give a new algebraic realization for ADE hypersurfaces. | |
| dc.description | 27 pages, latex. To appear in Journal of Physics A: Mathematical and General | |
| dc.identifier | https://arxiv.org/abs/hep-th/0112005 | |
| dc.identifier | http://arxiv.org/abs/hep-th/0112005 | |
| dc.identifier | J.Phys.A35:965-984,2002 | |
| dc.identifier | doi:10.1088/0305-4470/35/4/309 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/185573 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | Mirror Symmetry and Landau Ginzburg Calabi-Yau Superpotentials in F-theory Compactifications | |
| dc.type | text |