S-Matrices of ${\varphi }_{1,2}$ perturbed unitary minimal models: IRF-Formulation and Bootstrap-Program

Abstract

We analyze the algebraic structure of ${\varphi }_{1,2}$ perturbed minimal models relating them to graph-state models with an underlying Birman-Wenzl-Murakami algebra. Using this approach one can clarify some physical properties and reformulate the bootstrap equations. These are used to calculate the $S$-matrix elements of higher kinks, and to determine the breather spectrum of the ${\varphi }_{1,2}$ perturbations of the unitary minimal models $\M_{r,r+1}$.

20 pp, SISSA 192/92/EP