Mirror Symmetry of Calabi-Yau Supermanifolds

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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12pp; the last paragraph of section 1 improved and some clarifications added

Scientific paper

10.1142/S0217732305016683

We study super Landau-Ginzburg mirrors of the weighted projective superspace WCP^{3|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 WCP^{3|2}. The other is some patch of a degree 3 Calabi-Yau hypersurface in CP^2 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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