On supersymmetry breaking vacua from D-branes at orientifold singularities

TL;DR

This paper explores a broad class of D-brane models at Calabi-Yau singularities that exhibit dynamical supersymmetry breaking, revealing a universal instability mechanism with geometric interpretation, relevant for string theory model building.

Contribution

It introduces new D-brane models at orientifold singularities with dynamical supersymmetry breaking and analyzes their stability properties in warped geometries.

Findings

Models show instability along Coulomb branch towards supersymmetry-preserving vacua.

The runaway mechanism has a universal, geometrically interpretable nature.

Insights suggest criteria for Calabi-Yau singularities to avoid such instabilities.

Abstract

We present a large class of models of D-branes at (orientifold) Calabi-Yau singularities 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 runaway 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.