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Fractional Branes and Dynamical Supersymmetry Breaking

Sebastian Franco·Amihay Hanany·Fouad Saad·Angel M. Uranga
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Abstract

We study the dynamics of fractional branes at toric singularities, including cones over del Pezzo surfaces and the recently constructed Y^{p,q} theories. We find that generically the field theories on such fractional branes show dynamical supersymmetry breaking, due to the appearance of non-perturbative superpotentials. In special cases, one recovers the known cases of supersymmetric infrared behaviors, associated to SYM confinement (mapped to complex deformations of the dual geometries, in the gauge/string correspondence sense) or N=2 fractional branes. In the supersymmetry breaking cases, when the dynamics of closed string moduli at the singularity is included, the theories show a runaway behavior (involving moduli such as FI terms or equivalently dibaryonic operators), rather than stable non-supersymmetric minima. We comment on the implications of this gauge theory behavior for the infrared smoothing of the dual warped throat solutions with 3-form fluxes, describing duality cascades ending in such field theories. We finally provide a description of the different fractional branes in the recently introduced brane tiling configurations.

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Sebastian Franco, Amihay Hanany, Fouad Saad, Angel M. Uranga. 2005-05-04. Fractional Branes and Dynamical Supersymmetry Breaking. https://doi.org/10.1088/1126-6708%2F2006%2F01%2F011

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