Universal Baxter TQ-relations for open boundary quantum integrable systems

TL;DR

This paper derives universal Baxter TQ-relations for quantum integrable systems with open boundaries, generalizing known relations for specific models like the open XXZ-spin chain, based on properties of the universal R-matrix.

Contribution

It introduces universal Baxter TQ-relations for open boundary quantum integrable systems associated with U_q(sl2), extending the framework to a broader class of models.

Findings

Universal Baxter TQ-relations are derived for systems with open boundaries.

Relations for the open XXZ-spin chain are obtained as specific cases.

The approach is based on properties of the universal R-matrix.

Abstract

Based on properties of the universal R-matrix, we derive universal Baxter TQ-relations for quantum integrable systems with (diagonal) open boundaries associated with $U_{q}(\widehat{sl_{2}})$. The Baxter TQ-relations for the open XXZ-spin chain are images of these universal Baxter TQ-relations.