Boundary effects on the soliton mass in (1+1)-dimensional supersymmetric theories

Abstract

A proper incorporation of boundary effects, in terms of a surface term contribution to the one-loop soliton mass in (1+1)-dimensional supersymmetric theories, is shown to resolve the problem of renormalizability in the soliton sector, which otherwise arises in a finite space calculation of the soliton mass using a modified version of a set of boundary conditions proposed by Rouhani. The saturation of the Witten-Olive bound for such boundary conditions follows immediately.