S-MATRICES OF PHI(1,2)-PERTURBED MINIMAL MODELS - IRF FORMULATION AND BOOTSTRAP PROGRAM

We analyze the algebraic structure of phi1,2-perturbed minimal models, relating them to graph state models with an underlying Birman-Wenzl-Murakami algebra. Using this approach many physical properties of the IRF amplitudes can be derived, as the phase shifts in the ultraviolet limit, crossing relations and a simple formulation of the bootstrap equations. These are used to calculate explicitly the S matrix elements of higher kinks, and to determine the breather spectrum of the phi1,2 perturbations of the unitary minimal models M(r,r+1). Finally it is checked that the bootstrap closes on those particles.