Commuting difference operators with elliptic coefficients from Baxter's vacuum vestors

Abstract

For quantum integrable models with elliptic R-matrix, we construct the Baxter Q-operator in infinite-dimensional representations of the algebra of observables.

31 pages, LaTeX, references added

References in corpus (4)

• The elliptic gamma function and SL(3,Z) x Z^3
• Quantum Backlund transformation for the integrable DST model
• Modular Double of Quantum Group
• On The Baxter's Q - Operator for the XXX Spin Chain

Cited by in corpus (13)

• Analytic theory of the eight-vertex model
• Q-operators in the six-vertex model
• Fermionic representation for basic hypergeometric functions related to Schur polynomials
• Yang-Baxter R operators and parameter permutations
• Baxter operators with deformed symmetry
• Baxter Q-operators of the XXZ chain and R-matrix factorization
• Baxter operators for arbitrary spin II
• Baxter operators for arbitrary spin
• New elliptic solutions of the Yang-Baxter equation
• The TQ equation of the 8 vertex model for complex elliptic roots of unity
• Intertwining operators for Sklyanin algebra and elliptic hypergeometric series
• Q-operators for higher spin eight vertex models with an even number of sites
• Q-operators for higher spin eight vertex models with a rational anisotropy parameter