The dilute A_L models and the integrable perturbations of unitary minimal CFTs

Abstract

Recently, a set of thermodynamic Bethe ansatz equations is proposed by Dorey, Pocklington and Tateo for unitary minimal models perturbed by ϕ_{1,2} or ϕ_{2,1} operator. We examine their results in view of the lattice analogues, dilute A_L models at regime 1 and 2. Taking M_{5,6}+ϕ_{1,2} and M_{3,4}+ϕ_{2,1} as the simplest examples, we will explicitly show that the conjectured TBA equations can be recovered from the lattice model in a scaling limit.

14 pages, 2 figures