Bethe Ansatz and Symmetry in Superintegrable Chiral Potts Model and Root-of-unity Six-vertex Model
نویسنده
چکیده
We examine the Onsager algebra symmetry of τ -matrices in the superintegrable chiral Potts model. The comparison of Onsager algebra symmetry of the chiral Potts model with the sl2-loop algebra symmetry of six-vertex model at roots of unity is made from the aspect of functional relations using the Q-operator and fusion matrices. The discussion of Bethe ansatz for both models is conducted in a uniform manner through the evaluation parameters of their symmetry algebras. 2003 PACS: 05.50.+q, 02.20.Uw, 75.10Jm 2000 MSC: 14H70, 17B67, 82B23
منابع مشابه
Root-of-unity Symmetry of Six-vertex Model with Arbitrary Spin
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...
متن کاملRoot-of-unity Symmetry of the XXZ Spin Chain of Higher Spin1
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 (2) which include the superintegrable chiral Potts model. We then perform the parallel discussion on the XXZ spin chain at roots of unity, and demonstrate that the s...
متن کاملThe Onsager Algebra Symmetry of Τ -matrices in the Superintegrable Chiral Potts Model
We demonstrate that the τ (j)-matrices in the superintegrable chiral Potts model possess the Onsager algebra symmetry for their degenerate eigenvalues. The Fabricius-McCoy comparison of functional relations of the eight-vertex model for roots of unity and the superintegrable chiral Potts model has been carefully analyzed by identifying equivalent terms in the corresponding equations, by which w...
متن کامل2 9 M ay 2 00 5 The Onsager Algebra Symmetry of τ ( j ) - matrices in the Superintegrable Chiral Potts Model
We demonstrate that the τ (j)-matrices in the superintegrable chiral Potts model possess the Onsager algebra symmetry for their degenerate eigenvalues. The Fabricius-McCoy comparison of functional relations of eight-vertex model for roots of unity and superintegrable chiral Potts model has been carefully analyzed by identifying equivalent terms in the corresponding equations , by which we extra...
متن کاملThe Transfer Matrix of Superintegrable Chiral Potts Model as the Q-operator of Root-of-unity XXZ Chain with Cyclic Representation of Uq(sl2)
We demonstrate that the transfer matrix of the inhomogeneous N -state chiral Potts model with two vertical superintegrable rapidities serves as the Q-operator of XXZ chain model for a cyclic representation of Uq(sl2) with Nth root-of-unity q and representation-parameter. The symmetry problem of XXZ chain with a general cyclic Uq(sl2)-representation is mapped onto the problem of studying Q-opera...
متن کامل