Abstract
We analyze the algebraic structure of 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 -matrix elements of higher kinks, and to determine the breather spectrum of the perturbations of the unitary minimal models $\M_{r,r+1}$.
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