Fano hypersurfaces and Calabi-Yau supermanifolds
| dc.creator | Garavuso, Richard S. | |
| dc.creator | Kreuzer, Maximilian | |
| dc.creator | Noll, Alexander | |
| dc.date | 2008-11-29 | |
| dc.date | 2009-03-03 | |
| dc.date.accessioned | 2026-07-07T12:56:48Z | |
| dc.date.available | 2026-07-07T12:56:48Z | |
| dc.description | In this paper, we study the geometrical interpretations associated with Sethi's proposed general correspondence between N = 2 Landau-Ginzburg orbifolds with integral \hat{c} and N = 2 nonlinear sigma models. We focus on the supervarieties associated with \hat{c} = 3 Gepner models. In the process, we test a conjecture regarding the superdimension of the singular locus of these supervarieties. The supervarieties are defined by a hypersurface \widetilde{W} = 0 in a weighted superprojective space and have vanishing super-first Chern class. Here, \widetilde{W} is the modified superpotential obtained by adding as necessary to the Gepner superpotential a boson mass term and/or fermion bilinears so that the superdimension of the supervariety is equal to \hat{c}. When Sethi's proposal calls for adding fermion bilinears, setting the bosonic part of \widetilde{W} (denoted by \widetilde{W}_{bos}) equal to zero defines a Fano hypersurface embedded in a weighted projective space. In this case, if the Newton polytope of \widetilde{W}_{bos} admits a nef partition, then the Landau-Ginzburg orbifold can be given a geometrical interpretation as a nonlinear sigma model on a complete intersection Calabi-Yau manifold. The complete intersection Calabi-Yau manifold should be equivalent to the Calabi-Yau supermanifold prescribed by Sethi's proposal. | |
| dc.description | 24 pages, uses JHEP3.cls; v2: minor corrections, references added | |
| dc.identifier | https://arxiv.org/abs/0812.0097 | |
| dc.identifier | http://arxiv.org/abs/0812.0097 | |
| dc.identifier | JHEP 0903:007,2009 | |
| dc.identifier | doi:10.1088/1126-6708/2009/03/007 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/224711 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | Fano hypersurfaces and Calabi-Yau supermanifolds | |
| dc.type | text |