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arXiv · hep-th/0505029

Supersymmetry Breaking from a Calabi-Yau Singularity

D. Berenstein·C. P. Herzog·P. Ouyang·S. Pinansky
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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 $Y^{2,1}$ quiver gauge theory corresponding to a cone over the first del Pezzo surface, $dP_1$. 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.

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D. Berenstein, C. P. Herzog, P. Ouyang, S. Pinansky. 2005-05-07. Supersymmetry Breaking from a Calabi-Yau Singularity. https://doi.org/10.1088/1126-6708%2F2005%2F09%2F084

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