Abstract
We present a large class of models of D-branes at (orientifold) Calabi-Yau sin- gularities which enjoy dynamical supersymmetry breaking at low energy, by means of either the SU(5) or 3–2 supersymmetry breaking models. Once embedded in a warped throat or, equivalently, in a large N theory, all models display an instability along a Coulomb branch direction towards supersymmetry preserving vacua. Interestingly, the nature of the run- away mechanism is model-independent and has a precise geometrical interpretation. This naturally suggests the properties a Calabi-Yau singularity should have in order for such instability not to occur.
Highlights
We present a large class of models of D-branes at Calabi-Yau singularities which enjoy dynamical supersymmetry breaking at low energy, by means of either the SU(5) or 3–2 supersymmetry breaking models
Such theories with different ranks have a non-trivial evolution in energy, i.e. a renormalization group (RG) flow, which often takes the form of a cascade of Seiberg dualities, the prototype example being the conifold theory [4,5,6]
In [17] two instances of fractional brane configurations at orientifold singularities reproducing exactly the matter content of the so-called uncalculable SU(5) dynamical supersymmetry breaking (DSB) model [18] were provided. These models stood out as the only D-brane constructions leading to a reliable stable DSB vacuum, until in [19] it was shown, in the set-up involving an orientifold of the C3/Z6 orbifold, that the DSB vacuum is not stable
Summary
We present the basic approach and our main results, so that the reader can have a clear picture before we embark on the detailed analysis of a sizable set of examples. The conclusion we can draw is that there is a sizable number of orientifold singularities that allow for configurations with a small number of fractional branes reproducing a gauge theory with a stable DSB vacuum. If one instead populates nodes 0 and 2, N0 = M, N1 = 0, N2 = M + 4, N3 = 0 which in the mother theory corresponds to adding M N = 2 fractional branes associated to the strip 0-2-4, the theory has a runaway direction associated to v Note that this last system has the same gauge and matter content of a known, stable, DSB model [18, 27], but it lacks a crucial cubic term in the superpotential whose effect is to stop the runaway associated to v. We conclude that the Coulomb branch is unstable and it is so independently of the regime in which the 3-2 model finds itself
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