Metastable Vacua and Complex Deformations

TL;DR

This paper explores string theory realizations of metastable vacua in N=1 supersymmetric SU(N_c) theories using non-normalizable complex deformations, involving modified dualities and brane-antibrane interactions.

Contribution

It introduces a new approach with non-normalizable deformations and modified Toric duality to describe metastable vacua involving branes and anti-branes on deformed singularities.

Findings

Extended the class of metastable vacua to include branes-antibranes on deformed A_n singularities.

Developed a framework involving tachyon condensation and cycle mixing in the geometry.

Provided a string theory realization of metastable vacua with complex deformations.

Abstract

We use the non-normalizable complex deformations to describe the stringy realizations of the metastable vacua in N = 1, SU(N_c) SUSY theories with N_f > N_c massive fundamental flavors. The consideration of the non-normalizable deformations requires a modified Toric duality. The new approach considers the tachyon condensation between pairs of wrapped D5 branes and anti D5 branes and the resulting mixing between some cycles in the geometry. We enlarge the class of metastable vacua to the case of branes-antibranes wrapped on cycles of deformed A_n singularities.