Q-operators for higher spin eight vertex models with an even number of sites

Abstract

We construct the Q-operator for generalised eight vertex models associated to higher spin representations of the Sklyanin algebra, following Baxter's 1973 paper. As an application, we prove the sum rule for the Bethe roots.

22 pages, Latex (amsart); revised (comments are added)

References in corpus (4)

• Baxter Q-Operators and Representations of Yangians
• Q-operators in the six-vertex model
• A new Q-matrix in the Eight-Vertex Model
• The TQ equation of the 8 vertex model for complex elliptic roots of unity

Cited by in corpus (3)

• Scalar products of Bethe vectors in the 8-vertex model
• Baxter operators and asymptotic representations
• Q-operators for higher spin eight vertex models with a rational anisotropy parameter