Super Calabi-Yau's and Special Lagrangians
High Energy Physics - Theory
2010-10-27 v3
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.
Keywords
Cite
@article{arxiv.hep-th/0511284,
title = {Super Calabi-Yau's and Special Lagrangians},
author = {Riccardo Ricci},
journal= {arXiv preprint arXiv:hep-th/0511284},
year = {2010}
}
Comments
20 pages, no figures, latex; v2: references added; v3: minor clarifications added, version published in JHEP