Further solutions of critical ABF RSOS models

TL;DR

This paper analyzes the finite size corrections of the ABF RSOS model's transfer matrix to determine conformal weights and central charges, extending understanding of minimal conformal field theories.

Contribution

It provides new calculations of finite size corrections for a generalized crossing parameter in the ABF RSOS model, linking lattice models to conformal field theory.

Findings

Finite size corrections calculated for generalized crossing parameters.

Conformal weights and central charges extracted from these corrections.

Results applicable to both unitary and non-unitary minimal models.

Abstract

The restricted SOS model of Andrews, Baxter and Forrester has been studied. The finite size corrections to the eigenvalue spectra of the transfer matrix of the model with a more general crossing parameter have been calculated. Therefore the conformal weights and the central charges of the non-unitary or unitary minimal conformal field have been extracted from the finite size corrections.