Bethe Ansatz and Symmetry in Superintegrable Chiral Potts Model and Root-of-unity Six-vertex Model

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/122959We examine the Onsager algebra symmetry of $τ^{(j)}$-matrices in the superintegrable chiral Potts model. The comparison of Onsager algebra symmetry of the chiral Potts model with the $sl_2$-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.Latex 10 Pgaes ; Typos correctedStatistical MechanicsHigh Energy Physics - TheoryMathematical PhysicsExactly Solvable and Integrable SystemsBethe Ansatz and Symmetry in Superintegrable Chiral Potts Model and Root-of-unity Six-vertex Modeltext