Supersymmetry Breaking from a Calabi-Yau Singularity

Details Supersymmetry Breaking from a Calabi-Yau Singularity Supersymmetry Breaking from a Calabi-Yau Singularity

2005-05-03

arxiv.org/abs/hep-th/0505029v2

JHEP0509:084,2005

Physics

High Energy Physics

High Energy Physics - Theory

32 pages, 6 figures, latex, v2: minor changes, refs added

Scientific paper

10.1088/1126-6708/2005/09/084

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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