Dynamical SUSY Breaking at Meta-Stable Minima from D-branes at Obstructed Geometries

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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57 pages, 27 figures. References and comment about SO and Sp gauge groups added

Scientific paper

10.1088/1126-6708/2006/06/031

We study the existence of long-lived meta-stable supersymmetry breaking vacua in gauge theories with massless quarks, upon the addition of extra massive flavors. A simple realization is provided by a modified version of SQCD with N_{f,0} < N_c massless flavors, N_{f,1} massive flavors and additional singlet chiral fields. This theory has local meta-stable minima separated from a runaway behavior at infinity by a potential barrier. We find further examples of such meta-stable minima in flavored versions of quiver gauge theories on fractional branes at singularities with obstructed complex deformations, and study the case of the dP_1 theory in detail. Finally, we provide an explicit String Theory construction of such theories. The additional flavors arise from D7-branes on non-compact 4-cycles of the singularity, for which we find a new efficient description using dimer techniques.

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