Hamilton-Jacobi Solution to Soliton Paths and Triangular Mass Relation in Two-dimensional Extended Supersymmetric Theory
Nobuyuki Motoyui, Shogo Tominaga, Mitsuru Yamada
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 Mij<Mik+Mkj is automatically satisfied.
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