Spontaneous parity breaking and supersymmetry breaking in metastable vacua with consistent cosmology

TL;DR

This paper explores how spontaneous parity and supersymmetry breaking in metastable vacua can be compatible with cosmological constraints, particularly addressing domain wall removal and the scale of parity breaking in a left-right symmetric model.

Contribution

It demonstrates that domain walls from parity breaking can be eliminated via Planck-suppressed terms and identifies constraints on the parity breaking scale for cosmological consistency.

Findings

Domain walls can be removed if parity breaking scale is below 10^{10}-10^{11} GeV.

Metastability is naturally maintained even at low scales near TeV.

High parity breaking scales close to reheat temperature require specific conditions in SQCD.

Abstract

We study the compatibility of spontaneous breaking of parity and successful cosmology in a left-right symmetric model where supersymmetry breaking is achieved in metastable vacua. We show that domain walls formed due to this breaking can be removed due to Planck scale suppressed terms, provided the parity breaking scale $M_R$ is constrained to remain smaller than $10^{10}-10^{11}$ GeV. Ensuring metastability is achieved naturally even if the entire mechanism operates at low scales, within a few orders of magnitude of the TeV scale. Taking $M_R$ as high as permitted, close to the acceptable reheat temperature after inflation, would require the magnetic phase of the Supersymmetric Quantum Chromodynamics (SQCD) to have set in before the end of inflation.