Boundary ABF Models

TL;DR

This paper diagonalizes the transfer matrix of boundary ABF models with bosonized vertex operators, computes the boundary S-matrix, and verifies the scaling limit aligns with established perturbed boundary conformal field theories.

Contribution

It introduces a method to diagonalize boundary ABF models and compute their boundary S-matrix, connecting lattice models with boundary conformal field theories.

Findings

Successfully diagonalized the transfer matrix using bosonized vertex operators

Computed the boundary S-matrix for the models

Confirmed the scaling limit matches known perturbed boundary CFT results

Abstract

We diagonalise the transfer matrix of boundary ABF models using bosonized vertex operators. We compute the boundary S-matrix and check the scaling limit against known results for perturbed boundary conformal field theories.