On Baxter's Q operator of the higher spin XXZ chain at the Razumov-Stroganov point

TL;DR

This paper derives a closed-form expression for Baxter's Q operator in the higher spin XXZ chain at the Razumov-Stroganov point, revealing the hierarchy of functional relations through the TQ equation.

Contribution

It provides the first explicit closed-form evaluation of Baxter's Q operator for this specific integrable model at the Razumov-Stroganov point.

Findings

Closed-form expression for Baxter's Q operator derived.

Hierarchy of functional relations established.

Supports conjecture for transfer matrix eigenvalues.

Abstract

Based on the conjecture for the exact eigenvalue of the transfer matrix of the higher half-integer spin XXZ chain at the Razumov-Stroganov point, we evaluate the corresponding Baxter's Q operator in closed form by solving the TQ equation. The combination of the Q operators on the "right side" and the "wrong side" is shown to produce the hierarchy of functional relations.