Landscape of supersymmetry breaking vacua in geometrically realized gauge theories

Abstract

We study vacuum structure of N = 1 supersymmetric quiver gauge theories which can be realized geometrically by D-brane probes wrapping cycles of local Calabi–Yau three-folds. In particular, we show that the A 2 quiver theory with gauge group U ( N 1 ) × U ( N 2 ) with 1 2 N 1 < N 2 < 2 3 N 1 has a regime with an infrared free description that is partially magnetic and partially electric. Using this dual description, we show that the model has a landscape of inequivalent meta-stable vacua where supersymmetry is dynamically broken and all the moduli are stabilized. Each vacuum has distinct unbroken gauge symmetry. The gaugino masses are generated by radiative corrections, and we are left with the bosonic pure Yang–Mills theory in the infrared. We also identify the supersymmetric vacua in this model using their infrared free descriptions and show that the decay rates of the supersymmetry breaking vacua can be made parametrically small.