Non-BPS Walls and Their Stability in 5D Supersymmetric Theory

TL;DR

This paper presents an exact non-BPS multi-wall solution in a 5D supersymmetric model, demonstrating metastability, topological stability, and supersymmetry breaking effects depending on wall separation.

Contribution

It provides the first exact non-BPS multi-wall solution in a 5D supersymmetric model and analyzes its stability and supersymmetry breaking properties.

Findings

No tachyonic modes in the solution

Metastability under large fluctuations

Supersymmetry breaking suppressed by wall separation

Abstract

An exact solution of non-BPS multi-walls is found in supersymmetric massive T^\star(\mathbb{CP}^1) model in five dimensions. The non-BPS multi-wall solution is found to have no tachyon. Although it is only metastable under large fluctuations, we can give topological stability by considering a model with a double covering of the T^\star(\mathbb{CP}^1) target manifold. The {\cal N}=1 supersymmetry preserved on the four-dimensional world volume of one wall is broken by the coexistence of the other wall. The supersymmetry breaking is exponentially suppressed as the distance between the walls increases.