The Effective Kahler Potential, Metastable Vacua and R-Symmetry Breaking in O'Raifeartaigh Models

TL;DR

This paper investigates metastable vacua and R-symmetry breaking in O'Raifeartaigh models using the one-loop effective Kahler potential, providing new formulas applicable to various R-charge assignments and symmetry-breaking scenarios.

Contribution

It introduces a framework based on the one-loop effective Kahler potential for analyzing metastable vacua and R-symmetry breaking, extending previous superpotential-focused approaches.

Findings

Derived formulas for the effective Kahler potential terms.

Applicable to models with arbitrary R-charge assignments.

Includes analysis of both spontaneous and explicit R-symmetry breaking.

Abstract

Much has been learned about metastable vacua and R-symmetry breaking in O'Raifeartaigh models. Such work has largely been done from the perspective of the superpotential and by including Coleman-Weinberg corrections to the scalar potential. Instead, we consider these ideas from the perspective of the one loop effective Kahler potential. We translate known ideas to this framework and construct convenient formulas for computing individual terms in the expanded effective Kahler potential. We do so for arbitrary R-charge assignments and allow for small R-symmetry violating terms so that both spontaneous and explicit R-symmetry breaking is allowed in our analysis.