Softly Broken Supersymmetric Gauge Theories through Compactifications

TL;DR

This paper explores how boundary conditions in compactified dimensions affect supersymmetric gauge theories, leading to explicit supersymmetry breaking and gauge symmetry breaking via non-integrable phases, with a focus on 4D supersymmetric QCD.

Contribution

It introduces a framework for analyzing boundary condition effects on supersymmetry and gauge symmetry breaking in compactified supersymmetric gauge theories.

Findings

Boundary conditions induce universal soft supersymmetry breaking terms.

Gauge symmetry can be dynamically broken through non-integrable phases.

Application to 4D supersymmetric QCD demonstrates these effects.

Abstract

Effects of boundary conditions of fields for compactified space directions on the supersymmetric gauge theories are discussed. For general and possible boundary conditions the supersymmetry is explicitly broken to yield universal soft supersymmetry breaking terms, and the gauge symmetry of the theory can also be broken through the dynamics of non-integrable phases, depending on number and the representation under the gauge group of matters. The 4-dimensional supersymmetric QCD is studied as a toy model when one of the space coordinates is compactified on $S^1$.