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Explicit R-matrices for inhomogeneous 3D chiral Potts models: Integrability and the action formulation for IM

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We construct the exact spectral parameter dependent vertex R-matrix for the classical 3D N -state chiral Potts models, convenient for considering the model in context of the Bethe ansatz. The… Click to show full abstract

We construct the exact spectral parameter dependent vertex R-matrix for the classical 3D N -state chiral Potts models, convenient for considering the model in context of the Bethe ansatz. The R-matrix is defined on the N 4 dimensional space VN ⊗ VN ⊗ VN ⊗ VN , appropriate for consideration by means of the cube-equations defined in [14]. We present the 2D quantum spin Hamiltonians for general case and, at N = 2, a fermionic lattice action representation corresponding to 3D Ising’s statistical model.

Keywords: potts models; action; chiral potts; explicit matrices; matrices inhomogeneous

Journal Title: Annals of Physics
Year Published: 2021

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