Chiral Gauge Theories on $R^3 \times S^1$ and SUSY Breaking

TL;DR

This paper investigates chiral SU(5) gauge theories on a compactified space, calculating superpotentials from multi-monopoles and demonstrating dynamical supersymmetry breaking through semi-classical effects.

Contribution

It introduces a method to determine multi-monopole structures from affine Dynkin diagrams and shows SUSY breaking in chiral SU(5) theories via semi-classical analysis.

Findings

Superpotentials from composite multi-monopoles are explicitly calculated.

Multi-monopole structures can be deduced from affine Dynkin diagrams.

Dynamical SUSY breaking is demonstrated in a simple chiral SU(5) model.

Abstract

We study SU(5) chiral gauge theories on $R^3\times S^1$. With an unequal number of fundamental and antifundmental matter representations we calculate nontrivial pre-ADS superpotentials generated by composite multi-monopoles. We also point out that the structure of the composite multi-monopoles can be determined simply from the affine Dynkin diagrams of the gauge group and its unbroken subgroup. For the case of one flavor, we find that the superpotential is independent of the composite meson. We show that dynamical 4D SUSY breaking in the simplest chiral SU(5) gauge theory can be demonstrated directly via semi-classical effects on the circle.