Dimers, Orientifolds and Stability of Supersymmetry Breaking Vacua
Riccardo Argurio, Matteo Bertolini, Sebasti\'an Franco, Eduardo, Garc\'ia-Valdecasas, Shani Meynet, Antoine Pasternak, Valdo Tatitscheff
TL;DR
This paper investigates specific D-brane configurations in orientifolded toric Calabi-Yau singularities, identifying conditions for stable dynamical supersymmetry breaking vacua using dimer techniques.
Contribution
It introduces a geometric criterion for singularities to host stable supersymmetry breaking vacua and presents the Octagon as the simplest example.
Findings
Most configurations lead to Coulomb branch instability
A specific geometric structure admits stable supersymmetry breaking
The Octagon singularity exemplifies this stable construction
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.
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