Spontaneous R-parity breaking, Left-Right Symmetry and Consistent Cosmology with Transitory Domain Walls

TL;DR

This paper investigates how Planck scale suppressed effects can remove domain walls in spontaneous Left-Right parity breaking models, analyzing the constraints on D-parity breaking scales and proposing models that satisfy cosmological and grand unification requirements.

Contribution

It demonstrates that Planck scale suppressed terms can effectively eliminate domain walls in SUSYLR models with low D-parity breaking scales, and identifies models compatible with both cosmology and grand unification.

Findings

Planck scale effects can remove domain walls at low D-parity scales

High D-parity breaking scales conflict with domain wall removal

Certain R-parity violating models satisfy both cosmological and GUT constraints

Abstract

Domain wall formation is quite generic in spontaneous Left-Right parity (D-parity) breaking models. Since they are in conflict with cosmology, we need some mechanisms to remove them. Planck scale suppressed effects have been considered to be quite successful for this purpose. We study this possibility in Minimal Supersymmetric Left-Right (SUSYLR) model originally proposed by Kuchimanchi et al \cite{Kuchimanchi:1993jg} where both D-parity and R-parity $(R_p = (-1)^{3(B-L)+2s})$ are spontaneously broken. We find that Planck scale suppressed terms allowed for the specific particle content of this model can successfully remove the domain walls provided the D-parity breaking scale is relatively low $(\leq 10^5-10^7 \text{GeV})$. However, demanding this theory to be part of a grand unified theory such as SO(10) forces the D-parity breaking scale to be very high $(\geq 10^{14} \text{GeV})$ and hence is in conflict with the constraint from domain wall removal. We also find another class of R-parity violating SUSYLR models where both these constraints can be simultaneously satisfied.