Solving Baxter's TQ-equation via representation theory

Abstract

Baxter's TQ-equation is solved for the six-vertex model using the representation theory of quantum groups at roots of unity. A novel simplified construction of the Q-operator is given depending on a new free parameter. Specializing this general construction to even roots of unity and lattices with an odd number of columns two linearly independent operator solutions of Baxter's TQ equation are obtained as special limits.

13 pages. Submitted to the Proceedings "Non-Commutative Geometry & Representation Theory in Mathematical Physics", July 2004, Karlstads Universitet, Karlstad, Sweden. Improved introduction and references added

References in corpus (1)

• The six and eight-vertex models revisited

Cited by in corpus (6)

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• An Algebraic Setting for Defects in the XXZ and Sine-Gordon Models
• A Q-operator for the quantum transfer matrix
• Representation Theory and Baxter's TQ equation for the six-vertex model. A pedagogical overview