The dilute A L models and the integrable perturbations of unitary minimal CFTs

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.