Shi-shyr Roan 2006 J. Phys. A: Math. Gen. 39 12303 doi:10.1088/0305-4470/39/40/002
Shi-shyr Roan
Show affiliationsWe construct the explicit Q-operator incorporated with the sl2-loop-algebra symmetry of the six-vertex model at roots of unity. The functional relations involving the Q-operator, the six-vertex transfer matrix and fusion matrices are derived from the Bethe equation, parallel to the Onsager-algebra-symmetry discussion in the superintegrable N-state chiral Potts model. We show that the whole set of functional equations is valid for the Q-operator. Direct calculations in certain cases are also given here for clearer illustration about the nature of the Q-operator in the symmetry study of root-of-unity six-vertex model from the functional-relation aspect.
82B20 Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs
Issue 40 (6 October 2006)
Received 13 May 2006, in final form 20 August 2006
Published 19 September 2006
Shi-shyr Roan 2006 J. Phys. A: Math. Gen. 39 12303
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