Quasisupersymmetric Solitons of Coupled Scalar Fields in Two Dimensions

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.