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

TL;DR

This paper introduces A-D-E resonance S-matrices as an analytical continuation of Toda models, explores their renormalization group flows, and predicts new flows in non-unitary minimal models through thermodynamic Bethe ansatz analysis.

Contribution

It presents the construction of A-D-E resonance models as an extension of Toda S-matrices and analyzes their RG trajectories and implications for non-unitary models.

Findings

RG trajectories interpolate between GKO coset models.

Constructed the simplest resonance model with the ``$\

Predicted new flows in non-unitary minimal models.

Abstract

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.