Dynamically SUSY Breaking SQCD on F-Theory Seven-Branes

TL;DR

This paper demonstrates how to realize dynamical supersymmetry breaking SQCD within F-theory by intersecting seven-branes, linking geometric moduli to matter mass generation, and providing explicit examples of the mechanism.

Contribution

It introduces a novel F-theory construction for dynamical SUSY breaking SQCD using intersecting seven-branes and vector bundle moduli analysis.

Findings

Explicit equations for moduli space zero locus

Realization of massive ${ m N}=1$, $SU(N_c)$ SQCD

Connection between vector bundle moduli and matter mass

Abstract

We study how dynamically breaking SQCD can be obtained on two intersecting seven-branes in F-theory. In the mechanism which we present in this paper one of the seven-branes is responsible for producing the low-energy gauge group and the other one is for generating vector bundle moduli. The fundamental matter charged under the gauge group is localized on the intersection. The mass of the matter fields is controlled by the vector bundle moduli. The analysis of under what conditions a sufficient number of the fundamental flavors becomes light turns out to be equivalent to the analysis of non-perturbative superpotentials for vector bundle moduli in Heterotic M-theory. We give an example in which we present an explicit equation in the moduli space whose zero locus corresponds to the fundamental fields becoming light. This allows us to provide a local F-theory realization of massive ${\cal N}=1$, $SU(N_c)$ SQCD in the free magnetic range which dynamically breaks supersymmetry.