Goldstinos, supercurrents and metastable SUSY breaking in N = 2 supersymmetric gauge theories

Abstract

We construct an N = 2 supersymmetric generalization of the N = 1 supercurrent formalism of Komargodski and Seiberg (KS) and use it to show that N = 2 theories with linear superconformal anomalies cannot break SUSY under certain broad assumptions. This result suggests that there are no metastable SUSY breaking vacua in a large class of theories that includes N = 2 Super Yang-Mills (SYM).