Mirror Symmetry of Calabi-Yau Supermanifolds
Changhyun Ahn
Abstract
We study super Landau-Ginzburg mirrors of the weighted projective superspace WCP3|2 which is a Calabi-Yau supermanifold and appeared in hep-th/0312171(Witten) in the topological B-model. One of them is an elliptic fibration over the complex plane whose coordinate is given in terms of two bosonic and two fermionic variables as well as Kahler parameter of WCP3|2. The other is some patch of a degree 3 Calabi-Yau hypersurface in CP2 fibered by the complex plane whose coordinate depends on both above four variables and Kahler parameter but its dependence behaves quite differently.
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