Abstract
We propose and investigate a large class of models possessing resonance factorized S matrices. The associated Casimir energy describes a rich pattern of renormalization-group trajectories related to flows in the coset models based on the simply laced Lie algebras. From a simple resonance S matrix satisfying the ``${\mathrm{\ensuremath{\varphi}}}^{3}$ property'' we predict new flows in nonunitary minimal models.
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