Spontaneous R-symmetry Breaking with Multiple Pseudomoduli

TL;DR

This paper proves that in certain supersymmetric models with multiple flat directions and specific R-charge assignments, spontaneous R-symmetry breaking cannot occur at one-loop order, impacting SUSY breaking phenomenology.

Contribution

It generalizes previous results by showing the R-symmetric origin remains a local minimum at one-loop in models with multiple flat directions and R-charges 0 or 2.

Findings

Spontaneous R-breaking at one-loop is impossible in these models.

The R-symmetric origin is always a local minimum at one-loop.

Results have implications for dynamical SUSY breaking models.

Abstract

We examine generalized O'Raifeartaigh models that feature multiple tree-level flat directions and only contain fields with R-charges 0 or 2. We show that spontaneous R-breaking at up to one-loop order is impossible in such theories. Specifically, we prove that the R-symmetric origin of field space is always a local minimum of the one-loop Coleman-Weinberg potential, generalizing an earlier result for the case of a single flat direction. This result has consequences for phenomenology and helps elucidate the behavior of various models of dynamical SUSY breaking.