Diagonalization of boundary transfer matrix for the $U_{q,p}(\hat{sl}(3,{\bf C}))$ ABF model

TL;DR

This paper develops a free field realization of the ground state for the boundary transfer matrix in the $U_{q,p}( ext{sl}_3)$ ABF model, enabling its diagonalization using vertex operators.

Contribution

It introduces a novel free field realization approach for the boundary transfer matrix of the $U_{q,p}( ext{sl}_3)$ ABF model, facilitating its diagonalization.

Findings

Successful construction of the ground state realization.

Diagonalization of the boundary transfer matrix achieved.

Provides a framework for analyzing boundary effects in integrable models.

Abstract

We construct a free field realization of the ground state of the boundary transfer matrix for the $U_{q,p}(\hat{sl}_3)$ ABF model. Using this ground state and type-II vertex operator, we have a diagonalization of the boundary transfer matrix.