SUSY Breaking by Coexisting Walls

TL;DR

This paper proposes a novel mechanism for supersymmetry breaking based on the coexistence of multiple walls, where the overlap of localized Nambu-Goldstone fermions induces mass splittings without messenger fields.

Contribution

It introduces a new SUSY breaking scenario involving coexisting walls and a practical method to evaluate resulting mass splittings via wave function overlaps.

Findings

Mass splitting is caused by wave function overlap of NG fermions.

The mechanism does not require messenger fields.

A low-energy theorem relates overlap to mass splitting.

Abstract

Supersymmetry (SUSY) breaking without messenger fields is proposed. We assume that our world is on a wall and SUSY is broken only by the coexistence of another wall with some distance from our wall. The Nambu-Goldstone (NG) fermion is localized on the distant wall. Its overlap with the wave functions of physical fields on our wall gives the mass splitting of physical fields on our wall thanks to a low-energy theorem. We propose that this overlap provides a practical method to evaluate mass splitting in models with SUSY breaking due to the coexistence of walls.