QuasiSupersymmetric Solitons of Coupled Scalar Fields in Two Dimensions

TL;DR

This paper explores solitonic solutions in coupled scalar field theories with a quasi-supersymmetric potential, revealing a unique mass combination rule that differs from typical supersymmetric stability inequalities.

Contribution

It introduces a class of solitons in coupled scalar systems with a potential derived from a superpotential, demonstrating a Ritz-like mass relation instead of the usual inequality.

Findings

Soliton masses satisfy a Ritz-like combination rule.

The theory extends from N=1 to N=2 supersymmetry.

Distinct mass relations contrast with standard supersymmetric bounds.

Abstract

We consider solitonic solutions of coupled scalar systems, whose Lagrangian has a potential term (quasi-supersymmetric potential) consisting of the square of derivative of a superpotential. The most important feature of such a theory is that among soliton masses there holds a Ritz-like combination rule (e.g. $M_{12}+M_{23}=M_{13}$), instead of the inequality ($M_{12}+M_{23}<M_{13}$) which is a stability relation generally seen in N=2 supersymmetric theory. The promotion from N=1 to N=2 theory is considered.