Hamilton-Jacobi Solution to Soliton Paths and Triangular Mass Relation in Two-dimensional Extended Supersymmetric Theory

Abstract

D=2,N=2 generalized Wess-Zumino theory is investigated by the dimensional reduction from D=4,N=1 theory. For each solitonic configuration (i,j) the classical static solution is solved by the Hamilton-Jacobi method of equivalent one-dimensional classical mechanics. It is easily shown that the Bogomol'nyi mass bound is saturated by these solutions and triangular mass inequality M_{ij}<M_{ik}+M_{kj} is automatically satisfied.