Mirror Symmetry and Supermanifolds
| dc.creator | Aganagic, Mina | |
| dc.creator | Vafa, Cumrun | |
| dc.date | 2004-03-19 | |
| dc.date.accessioned | 2026-07-07T04:16:44Z | |
| dc.date.available | 2026-07-07T04:16:44Z | |
| dc.description | We develop techniques for obtaining the mirror of Calabi-Yau supermanifolds as super-Landau-Ginzburg theories. In some cases the dual can be equivalent to a geometry. We apply this to some examples. In particular we show that the mirror of the twistorial Calabi-Yau CP^{3|4} becomes equivalent to a quadric in CP^{3|3} x CP^{3|3} as had been recently conjectured (in the limit where the Kähler parameter of CP^{3|4} t -> \pm \infty). Moreover, we show using these techniques that there is a non-trivial Z_2 symmetry for the Kähler parameter, t -> -t, which exchanges the opposite helicity states. As another class of examples, we show that the mirror of certain weighted projective (n+1|1) superspaces is equivalent to compact Calabi-Yau hypersurfaces in weighted projective n-space. | |
| dc.description | 15 pages | |
| dc.identifier | https://arxiv.org/abs/hep-th/0403192 | |
| dc.identifier | http://arxiv.org/abs/hep-th/0403192 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/52480 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | Mirror Symmetry and Supermanifolds | |
| dc.type | text |