ar X iv : s ol v - in t / 9 80 80 13 v 1 2 4 A ug 1 99 8 On fusion algebra of chiral SU ( N ) K models

ar X iv : s ol v - in t / 9 80 80 02 v 1 4 A ug 1 99 8 Polynomial rings of the chiral SU ( N ) 2 models

Via explicit diagonalization of the chiral SU (N) 2 fusion matrices, we discuss the possibility of representing the fusion ring of the chiral SU (N) models, at level K = 2, by a polynomial ring in a single variable when N is odd and by a polynomial ring in two-variable when N is even.

ar X iv : s ol v - in t / 9 70 80 05 v 1 1 4 A ug 1 99 7 On the Integrable Hierarchies

A new Lax operator is proposed from the viewpoint of constructing the integrable hierarchies related with N = 2 super Wn algebra. It is shown that the Poisson algebra associated to the second Hamiltonian structure for the resulted hierarchy contains the N = 2 super Virasoro algebra as a proper subalgebra. The simplest cases are discussed in detail. In particular, it is proved that the supersymm...

ar X iv : s ol v - in t / 9 70 80 06 v 1 1 4 A ug 1 99 7 Introduction to the Hirota bilinear method

ar X iv : s ol v - in t / 9 70 80 01 v 1 4 A ug 1 99 7 Two - dimensional soliton cellular automaton of deautonomized Toda - type

A deautonomized version of the two-dimensional Toda lattice equation is presented. Its ultra-discrete analogue and soliton solutions are also discussed. PACS: 03.20.+i; 03.40.Kf; 04.60.Nc

ar X iv : h ep - l at / 9 70 80 06 v 1 1 1 A ug 1 99 7 1 Quenched Spectroscopy for the N = 1 Super - Yang – Mills Theory

We present results for the Quenched SU(2) N = 1 Super-Yang–Mills spectrum at β = 2.6, on a V = 16 3 × 32 lattice , in the OZI approximation. This is a first step towards the understanding of the chiral limit of lattice N = 1 SUSY.