A Bound on the Superpotential

TL;DR

This paper establishes a universal bound on the superpotential in theories with broken supersymmetry and R-symmetry, applicable to both weakly and strongly coupled regimes, with potential implications for related theoretical models.

Contribution

It provides an exact, general bound on the superpotential in broken supersymmetry theories, extending across different coupling strengths.

Findings

Proves the bound 2|W|< f_a F in broken supersymmetry theories.

Applicable to both weakly and strongly coupled theories.

Suggests potential applications in theoretical physics models.

Abstract

We prove a general bound on the superpotential in theories with broken supersymmetry and broken R-symmetry, 2|W|< f_a F, where f_a and F are the R-axion and Goldstino decay constants, respectively. The bound holds for weakly coupled as well as strongly coupled theories, thereby providing an exact result in theories with broken supersymmetry. We briefly discuss several possible applications.