Supersymmetry and R-symmetry Breaking in Meta-stable Vacua at Finite Temperature and Density

TL;DR

This paper investigates how finite temperature and density affect R-symmetry breaking in a supersymmetry-breaking model, revealing destabilization of existing vacua and emergence of new vacua under certain conditions.

Contribution

It provides a detailed numerical analysis of the thermal effective potential with chemical potentials in a generalized O'Raifeartaigh model, highlighting novel effects of finite density on R-symmetry breaking.

Findings

R-symmetry breaking vacua destabilized at certain parameters

New R-symmetry breaking vacua appear at high temperature due to density effects

Finite density can induce R-symmetry breaking even at high temperature

Abstract

We study a meta-stable supersymmetry-breaking vacuum in a generalized O'Raifeartaigh model at finite temperature and chemical potentials. Fields in the generalized O'Raifeartaigh model possess different R-charges to realize R-symmetry breaking. Accordingly, at finite density and temperature, the chemical potentials have to be introduced in a non-uniform way. Based on the formulation elaborated in our previous work we study the one-loop thermal effective potential including the chemical potentials in the generalized O'Raifeartaigh model. We perform a numerical analysis and find that the R-symmetry breaking vacua, which exist at zero temperature and zero chemical potential, are destabilized for some parameter regions. In addition, we find that there are parameter regions where new R-symmetry breaking vacua are realized even at high temperature by the finite density effects.