Abstract
We study (orientifolded) toric Calabi-Yau singularities in search for D-brane configurations which lead to dynamical supersymmetry breaking at low energy. By exploiting dimer techniques we are able to determine that while most realizations lead to a Coulomb branch instability, a rather specific construction admits a fully stable supersymmetry breaking vacuum. We describe the geometric structure that a singularity should have in order to host such a construction, and present its simplest example, the Octagon.
Highlights
Finite distance in the space of field VEVs [8,9,10,11], very much like massless SQCD with a small number of flavors
We study toric Calabi-Yau singularities in search for D-brane configurations which lead to dynamical supersymmetry breaking at low energy
The difficulty in finding such models can suggest that dynamical supersymmetry breaking (DSB) into stable vacua might not be a possibility in D-brane constructions and, more generally, in string theory as well
Summary
We go over some known results which will be needed in the following. We will first review the basic structure of the two dynamical supersymmetry breaking models we will be concerned with, the so-called SU (5) [19] and 3-2 models [20]. We review the mechanism responsible for the instability which afflicts all D-brane configurations realizing the aforementioned DSB models in any of the string theory constructions presented in [16,. We review the characterization of N = 2 fractional branes according to the general classification of [9] and discuss their description in terms of dimers
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