Critical behaviour of the dilute O(n), Izergin-Korepin and dilute $A_L$ face models: Bulk properties

TL;DR

This paper uses nonlinear integral equations to analyze the critical dilute O(n) model and related face models, revealing their bulk conformal weights and operator content across different regimes.

Contribution

It extends previous results by calculating bulk conformal weights for the dilute O(n) and related models, including negative spectral parameter regimes.

Findings

Bulk conformal weights for dilute O(n) model obtained

Operator content of 19-vertex Izergin-Korepin model identified

Conformal weights of dilute A_L face models determined

Abstract

The analytic, nonlinear integral equation approach is used to calculate the finite-size corrections to the transfer matrix eigen-spectra of the critical dilute O(n) model on the square periodic lattice. The resulting bulk conformal weights extend previous exact results obtained in the honeycomb limit and include the negative spectral parameter regimes. The results give the operator content of the 19-vertex Izergin-Korepin model along with the conformal weights of the dilute $A_L$ face models in all four regimes.