On the critical boundary RSOS \mathcal{M}(3,5) model

TL;DR

This paper analyzes the critical non-unitary minimal model {}(3,5) with integrable boundaries, deriving TBA equations for excitations and classifying them using (m,n) systems, advancing understanding of its spectrum.

Contribution

It derives the integral TBA equations for all excitations of the {}(3,5) model and classifies them in the continuum limit, providing new insights into its spectral structure.

Findings

Derived TBA equations for all excitations.

Classified excitations using (m,n) systems.

Connected lattice model spectra to continuum theory.

Abstract

We consider the critical non-unitary minimal model {\cal M}(3,5) with integrable boundaries. We analyze the patterns of zeros of the eigenvalues of the transfer matrix and then determine the spectrum of the critical theory through the Thermodynamic Bethe Ansatz (TBA) equations. By solving the TBA functional equation satisfied by the transfer matrices of the associated A_{4} RSOS lattice model of Forrester and Baxter in Regime III in the continuum scaling limit, we derive the integral TBA equations for all excitations in the (r=1,s=1) sector then determine their corresponding energies. The excitations are classified in terms of (m,n) systems.