2004/03/19 by Mina Aganagic, Cumrun Vafa, Aganagic, Mina +1 · 1 citation
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Relativity and Gravitational Theory #hep-th
paper · pdf · doi:10.48550/arxiv.hep-th/0403192
15 pages
arxiv created 2004/03/19 · openalex publication_date 2004/03/19 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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 CP3|4 becomes equivalent to a quadric in CP3|3 x CP3|3 as had been recently conjectured (in the limit where the Kähler parameter of CP3|4 t -> ± ∞). Moreover, we show using these techniques that there is a non-trivial Z2 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.