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

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.

14 pages, v2

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Cited by in corpus (3)

• Q-operators for higher spin eight vertex models with an even number of sites
• Exact densities of loops in O(1) dense loop model and of clusters in critical percolation on a cylinder II: rotated lattice
• Q-operators for higher spin eight vertex models with a rational anisotropy parameter