Gaugino condensation and the anomalous $U(1)$

TL;DR

This paper investigates how gaugino condensation in models with an anomalous U(1) gauge symmetry leads to dynamical supersymmetry breaking and affects the structure of the hidden sector and soft breaking terms.

Contribution

It provides a detailed analysis of gaugino condensation in the presence of an anomalous U(1), including explicit calculations of supersymmetry breaking effects in string-inspired models.

Findings

Global supersymmetry is dynamically broken by gaugino condensation with an anomalous U(1).

The anomaly cancellation constrains the hidden sector structure and shifts the gaugino condensation scale.

Explicit soft supersymmetry breaking terms are computed in the model.

Abstract

We study gaugino condensation in presence of an anomalous $U(1)$ gauge group and find that global supersymmetry is dynamically broken. An example of particular interest is provided by effective string models with 4-dimensional Green-Schwarz anomaly cancellation mechanism. The structure of the hidden sector is constrained by the anomaly cancellation conditions and the scale of gaugino condensation is shifted compared with the usual case. We explicitly compute the resulting soft supersymmetry breaking terms.