256 citations · 684 across the 40 of their papers we have counts for
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Duality and Symmetry in Chiral Potts Model
Shi-shyr Roan
We discover an Ising-type duality in the general -state chiral Potts model, which is the Kramers-Wannier duality of planar Ising model when N=2. This duality relates the spectru…
On -model in Chiral Potts Model and Cyclic Representation of Quantum Group
Shi-shyr Roan
We identify the precise relationship between the five-parameter -family in the -state chiral Potts model and XXZ chains with -cyclic representation. By stud…
Bethe Equation of -model and Eigenvalues of Finite-size Transfer Matrix of Chiral Potts Model with Alternating Rapidities
Shi-shyr Roan
We establish the Bethe equation of the -model in the -state chiral Potts model (including the degenerate selfdual cases) with alternating vertical rapidities. The eigen…
On the Equivalent Theory of the Generalized τ^{(2)}-model and the Chiral Potts Model with two Alternating Vertical Rapidities
Shi-shyr Roan
By the Baxter's -operator method, we demonstrate the equivalent theory between the generalized -model (other than two special cases with a pseudovacuum state) and…
The Transfer Matrix of Superintegrable Chiral Potts Model as the Q-operator of Root-of-unity XXZ Chain with Cyclic Representation of
Shi-shyr Roan
We demonstrate that the transfer matrix of the inhomogeneous -state chiral Potts model with two vertical superintegrable rapidities serves as the -operator of XXZ chain model…
On -operators of XXZ Spin Chain of Higher Spin
Shi-shyr Roan
We provide two methods of producing the -operator of XXZ spin chain of higher spin, one for th root-of-unity with odd and another for a general , as the generaliza…
The Q-operator and Functional Relations of the Eight-vertex Model at Root-of-unity for odd N
Shi-shyr Roan
Following Baxter's method of producing Q_{72}-operator, we construct the Q-operator of the root-of-unity eight-vertex model for the crossing parameter with odd…
Fusion Operators in the Generalized -model and Root-of-unity Symmetry of the XXZ Spin Chain of Higher Spin
Shi-shyr Roan
We construct the fusion operators in the generalized -model using the fused -operators, and verify the fusion relations with the truncation identity. The algebraic Beth…
The Q-operator for Root-of-Unity Symmetry in Six Vertex Model
Shi-shyr Roan
We construct the explicit -operator incorporated with the -loop-algebra symmetry of the six-vertex model at roots of unity. The functional relations involving the -oper…
Bethe Ansatz and Symmetry in Superintegrable Chiral Potts Model and Root-of-unity Six-vertex Model
Shi-shyr Roan
We examine the Onsager algebra symmetry of -matrices in the superintegrable chiral Potts model. The comparison of Onsager algebra symmetry of the chiral Potts model with t…
The Onsager Algebra Symmetry of -matrices in the Superintegrable Chiral Potts Model
Shi-shyr Roan
We demonstrate that the -matrices in the superintegrable chiral Potts model possess the Onsager algebra symmetry for their degenerate eigenvalues. The Fabricius-McCoy comp…
Chiral Potts Rapidity Curve Descended from Six-vertex Model and Symmetry Group of Rapidities
Shi-shyr Roan
In this paper, we present a systematical account of the descending procedure from six-vertex model to the -state chiral Potts model through fusion relations of -operato…
The algebraic structure of the Onsager algebra
Etsuro Date, Shi-shyr Roan
We study the Lie algebra structure of the Onsager algebra from the ideal theoretic point of view. A structure theorem of ideals in the Onsager algebra is obtained with the connecti…