Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2004-03-19
Physics
High Energy Physics
High Energy Physics - Theory
15 pages
Scientific paper
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 K\"ahler 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 K\"ahler 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.
Aganagic Mina
Vafa Cumrun
No associations
LandOfFree
Mirror Symmetry and Supermanifolds does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Mirror Symmetry and Supermanifolds, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Mirror Symmetry and Supermanifolds will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-336406