Supersymmetry Breaking from a Calabi-Yau Singularity
arXiv:hep-th/0505029 · doi:10.1088/1126-6708/2005/09/084
Abstract
We conjecture a geometric criterion for determining whether supersymmetry is spontaneously broken in certain string backgrounds. These backgrounds contain wrapped branes at Calabi-Yau singularites with obstructions to deformation of the complex structure. We motivate our conjecture with a particular example: the quiver gauge theory corresponding to a cone over the first del Pezzo surface, . This setup can be analyzed using ordinary supersymmetric field theory methods, where we find that gaugino condensation drives a deformation of the chiral ring which has no solutions. We expect this breaking to be a general feature of any theory of branes at a singularity with a smaller number of possible deformations than independent anomaly-free fractional branes.
32 pages, 6 figures, latex, v2: minor changes, refs added
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