Identities in the Superintegrable Chiral Potts Model

Abstract

We present proofs for a number of identities that are needed to study the superintegrable chiral Potts model in the $Q\ne 0$ sector.

LaTeX 2E document, using iopart.cls with iopams packages. 11 pages, uses eufb10 and eurm10 fonts. Typeset twice! vs2: Two equations added. vs3: Introduction added

References in corpus (8)

• Baxter-Bazhanov-Stroganov model: Separation of Variables and Baxter Equation
• Form-factors in the Baxter-Bazhanov-Stroganov model I: Norms and matrix elements
• The L(sl_2) symmetry of the Bazhanov-Stroganov model associated with the superintegrable chiral Potts model
• Form-factors in the Baxter-Bazhanov-Stroganov model II: Ising model on the finite lattice
• An algebraic derivation of the eigenspaces associated with an Ising-like spectrum of the superintegrable chiral Potts model
• Factorized finite-size Ising model spin matrix elements from Separation of Variables
• Eigenvectors of open Bazhanov-Stroganov quantum chain
• Eigenvectors of Baxter-Bazhanov-Stroganov τ^{(2)}(t_q) model with fixed-spin boundary conditions

Cited by in corpus (9)

• On the form factors of local operators in the Bazhanov-Stroganov and chiral Potts models
• The tau_2-model and the chiral Potts model revisited: completeness of Bethe equations from Sklyanin's SOV method
• Polynomial Triangles Revisited
• Spontaneous magnetization of the superintegrable chiral Potts model: calculation of the determinant D_PQ
• Spin operator matrix elements in the superintegrable chiral Potts quantum chain
• Quantum Loop Subalgebra and Eigenvectors of the Superintegrable Chiral Potts Transfer Matrices
• Spontaneous Magnetization of the Integrable Chiral Potts Model
• Superintegrable chiral Potts model: Proof of the conjecture for the coefficients of the generating function G(t,u)
• Correlation functions for the three state superintegrable chiral Potts spin chain of finite lengths