Surface operator content of the A_L face models

TL;DR

This paper constructs fixed boundary weights for A_L face models from loop models, deriving surface operator content and conformal partition functions using Bethe equations.

Contribution

It introduces a method to derive boundary weights and surface operator content for A_L face models from related loop models and Bethe equations.

Findings

Derived fixed boundary weights for A_L face models.

Calculated surface operator content from Bethe equations.

Obtained conformal partition functions for the models.

Abstract

A set of fixed boundary weights for both the critical dense and dilute A_L face models is constructed from the known boundary weights of the related loop model. The surface operator content and the conformal partition functions then follow from the results obtained via the Bethe equations.