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arXiv · 2112.09892

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

Sh. Khachatryan·A. Sedrakyan
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Abstract

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

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Sh. Khachatryan, A. Sedrakyan. 2021-12-18. Explicit R-matrices for inhomogeneous 3D chiral Potts models: Integrability and the action formulation for. https://doi.org/10.1016/j.aop.2021.168735

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