Super Calabi-Yau's and Special Lagrangians
Abstract
We apply mirror symmetry to the super Calabi-Yau manifold CP(n|n+1) and show that the mirror can be recast in a form which depends only on the superdimension and which is reminiscent of a generalized conifold. We discuss its geometrical properties in comparison to the familiar conifold geometry. In the second part of the paper examples of special-Lagrangian submanifolds are constructed for a class of super Calabi-Yau's. We finally comment on their infinitesimal deformations.
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