Confinement and soliton solutions in the SL(3) Toda model coupled to matter fields

摘要

We consider an integrable conformally invariant two-dimensional model associated to the affine Kac-Moody algebra sl(3) (C). It possesses four scalar fields and six Dirac spinors. The theory does not possesses a local Lagrangian since the spinor equations of motion present interaction terms which are bilinear in the spinors. There exists a submodel presenting an equivalence between a U(1) vector current and a topological current, which leads to a confinement of the spinors inside the solitons. We calculate the one-soliton and two-soliton solutions using a procedure which is a hybrid of the dressing and Hirota methods. The soliton masses and time delays due to the soliton interactions are also calculated. We give a computer program to calculate the soliton solutions. (C) 2002 Published by Elsevier Science B.V. [References: 29]