Integrals of motion from TBA and lattice-conformal dictionary

TL;DR

This paper derives the integrals of motion for the tricritical Ising model using TBA equations from an integrable lattice model, establishing a lattice-conformal correspondence and analyzing RG flows.

Contribution

It introduces a novel method to obtain integrals of motion via TBA and links lattice models with conformal field theory in a detailed manner.

Findings

Established a one-to-one lattice-conformal correspondence.

Derived integrals of motion from TBA equations.

Analyzed RG flows generated by boundary fields.

Abstract

The integrals of motion of the tricritical Ising model are obtained by Thermodynamic Bethe Ansatz (TBA) equations derived from the A_4 integrable lattice model. They are compared with those given by the conformal field theory leading to a unique one-to-one lattice-conformal correspondence. They can also be followed along the renormalization group flows generated by the action of the boundary field \phi_{1,3} on conformal boundary conditions in close analogy to the usual TBA description of energies.