RG flows and resonance scattering amplitudes

TL;DR

This paper reviews recent advances in factorized resonance scattering S-matrices, exploring their analytical structure, thermodynamic Bethe ansatz computations, and connections to flows between conformal field theories, including non-unitary models.

Contribution

It introduces resonance amplitudes via analytical continuation of ADE Toda S-matrices and analyzes their role in interpolating between different conformal field theory central charges.

Findings

Computed ground state energies for resonance models.

Identified flows between ADE-based coset models.

Connected resonance scattering to non-unitary minimal models.

Abstract

We review recent progresses in the study of factorized resonance scattering S-matrices. The resonance amplitudes are introduced through a suitable analytical continuation of the ADE Toda S-matrices. By using the thermodynamic Bethe ansatz approach we are able to compute the ground state energy, which describes a rich pattern of flows interpolating between the central charges of the coset models based on the ADE Lie algebras. We also present the simplest resonance ``$\phi^3$'' scattering model and discuss its relation with new flows in non-unitary minimal models. Further generalizations are discussed in terms of certain asymptotic conditions in a family of ``resonance'' functional hierarchies.