Dynamical Supersymmetry Breaking on Quantum Moduli Spaces

TL;DR

This paper explores a mechanism for supersymmetry breaking via quantum deformation of moduli spaces, presenting models that demonstrate this process and connecting strongly coupled theories to weakly coupled descriptions.

Contribution

It introduces a simple model illustrating supersymmetry breaking through quantum deformation and connects strongly coupled chiral models to weakly coupled frameworks with broken supersymmetry.

Findings

Supersymmetry can be broken by quantum deformation of moduli spaces.

A non-chiral, renormalizable model exemplifies this mechanism.

Chiral models with a dynamically generated superpotential are connected to weakly coupled descriptions.

Abstract

Supersymmetry breaking by the quantum deformation of a classical moduli space is considered. A simple, non-chiral, renormalizable model is presented to illustrate this mechanism. The well known, chiral, $SU(3) \times SU(2)$ model and its generalizations are shown to break supersymmetry by this mechanism in the limit $\Lambda_2 \gg \Lambda_3$. Other supersymmetry breaking models, with classical flat directions that are only lifted quantum mechanically, are presented. Finally, by integrating in vector matter, the strongly coupled region of chiral models with a dynamically generated superpotential is shown to be continuously connected to a weakly coupled description in terms of confined degrees of freedom, with supersymmetry broken at tree level.