SUSY Breaking by Stable non-BPS Walls

TL;DR

This paper introduces a novel SUSY breaking mechanism via stable non-BPS walls in a 4D model, avoiding complex sectors and utilizing wave function overlaps for mass splitting evaluation.

Contribution

It presents a simple SUSY breaking method using stable non-BPS wall configurations without requiring messenger fields or complicated sectors.

Findings

Constructed an exact stable non-BPS two-wall solution.

Proposed a practical method to evaluate SUSY breaking mass splittings.

Connected wave function overlaps with low-energy SUSY breaking theorems.

Abstract

A new simple mechanism for SUSY breaking is proposed due to the coexistence of BPS domain walls. It is assumed that our world is on a BPS domain wall and that the other BPS wall breaks the SUSY preserved by our wall. This mechanism requires no messenger fields nor complicated SUSY breaking sector on any of the walls. We obtain an ${\cal N}=1$ model in four dimensions which has an exact solution of a stable non-BPS configuration of two walls. We propose that the overlap of the wave functions of the N-G fermion and those of physical fields provides a practical method to evaluate SUSY breaking mass splitting on our wall thanks to a low-energy theorem. This is based on our recent works hep-th/0009023 and hep-th/0107204.