Exact resonance A-D-E S-matrices and their renormalization group trajectories

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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18 pages(no figures included)

Scientific paper

10.1016/0550-3213(93)90018-K

We introduce the A-D-E resonance factorized models as an appropriate analytical continuation of the Toda S-matrices to the complex values of their coupling constant. An investigation of the associated Casimir energy, via the thermodynamic Bethe ansatz, reveals a rich pattern of renormalization group trajectories interpolating between the central charges of the $G_1 \otimes G_k / G_{k+1}$ GKO coset models. We have also constructed the simplest resonance factorized model satisfying the ``$\phi^3$''-property. From this resonance scattering, we predict new flows in non-unitary minimal models.

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