English

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

High Energy Physics - Theory 2009-11-07 v1

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.

Keywords

Cite

@article{arxiv.hep-th/0108210,
  title  = {Hamilton-Jacobi Solution to Soliton Paths and Triangular Mass Relation in Two-dimensional Extended Supersymmetric Theory},
  author = {Nobuyuki Motoyui and Shogo Tominaga and Mitsuru Yamada},
  journal= {arXiv preprint arXiv:hep-th/0108210},
  year   = {2009}
}

Comments

7 pages, no figures, to appear in Mod. Phys. Lett. A