Intersoliton forces in the Wess-Zumino model

TL;DR

This paper investigates how the discontinuous spectrum of supersymmetric domain wall solitons in the Wess-Zumino model can be explained through the analysis of long-range inter-soliton forces using Manton's method.

Contribution

It provides a novel understanding of the spectral discontinuity in the Wess-Zumino model via inter-soliton force analysis.

Findings

Discontinuous spectrum across marginal stability curve

Inter-soliton forces explain spectral behavior

Application of Manton's method to supersymmetric solitons

Abstract

The spectrum of supersymmetric domain wall solitons of the Wess-Zumino model is known to be discontinuous across a curve (of marginal stability) in the moduli space of quartic superpotentials. Here we show how this phenomenon can be understood from the behavior of the long-range inter-soliton force, which we compute by a method due to Manton.