Root-of-unity Symmetry of Six-vertex Model with Arbitrary Spin
نویسنده
چکیده
We construct the fusion operators in the generalized τ -model using the fused L-operators, and verify the fusion relations with the truncation identity. The algebraic Bethe Ansatz discussion is conducted on two special classes of τ -models which include the superintegrable chiral Potts model. We then perform the parallel discussion on the six-vertex model at roots of unity, and demonstrate that the sl2-loop algebra symmetry exists for the root-of-unity six-vertex model with an arbitrary spin, where the evaluation parameters for the symmetry algebra are identified by the explicit Fabricius-McCoy current for the Bethe states. Parallels are also drawn to the comparison with the superintegrable chiral Potts model. 1999 PACS: 05.50.+q, 02.20.Tw, 75.10Jm 2000 MSC: 17B65, 39B72, 82B23
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تاریخ انتشار 2006