SUSY Breaking by Overlap of Wave Functions in Coexisting Walls

TL;DR

This paper proposes a novel mechanism for supersymmetry breaking where the overlap of wave functions between coexisting walls causes mass splitting, eliminating the need for messenger fields and offering a practical evaluation method.

Contribution

It introduces a new SUSY breaking scenario based on wave function overlap in coexisting walls, providing a practical way to compute mass splittings.

Findings

Wave function overlap induces SUSY breaking without messenger fields.

Localized Nambu-Goldstone fermion on a distant wall causes mass splitting.

Method offers a practical approach to evaluate SUSY breaking effects.

Abstract

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 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 coexisting walls.