Duality after Supersymmetry Breaking

TL;DR

This paper explores how dual supersymmetric theories behave when supersymmetry is broken dynamically, revealing that for small breaking, duality predicts specific chiral symmetry breaking patterns in supersymmetric QCD.

Contribution

It demonstrates the effects of dynamical supersymmetry breaking on dual theories and predicts chiral symmetry breaking patterns in supersymmetric QCD with small soft masses.

Findings

Magnetic scalars can have negative mass-squared, breaking vector-like symmetry.

Large supersymmetry breaking reduces theories to ordinary QCD, causing incompatibility.

Duality constrains chiral symmetry breaking patterns in softly broken supersymmetric QCD.

Abstract

Starting with two supersymmetric dual theories, we imagine adding a chiral perturbation that breaks supersymmetry dynamically. At low energy we then get two theories with soft supersymmetry-breaking terms that are generated dynamically. With a canonical Kahler potential, some of the scalars of the "magnetic" theory typically have negative mass-squared, and the vector-like symmetry is broken. Since for large supersymmetry breaking the "electric" theory becomes ordinary QCD, the two theories are then incompatible. For small supersymmetry breaking, if duality still holds, the magnetic theory analysis implies specific patterns of chiral symmetry breaking in supersymmetric QCD with small soft masses.