Vertex-IRF correspondence and factorized \(L\)-operators for an elliptic \(R\)-operator

DOI10.1007/BF02101811zbMath0834.58046arXivq-alg/9412015MaRDI QIDQ1901800

Youichi Shibukawa

Publication date: 15 April 1996

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/q-alg/9412015

zbMATH Keywords

Yang-Baxter equation\(L\)-operator\(R\)-operator

Mathematics Subject Classification ID

Applications of global analysis to the sciences (58Z05) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

Related Items (3)

Boundary \(K\)-operator for the elliptic \(R\)-operator acting on functional space. ⋮ Classification of R-operators ⋮ Integrable $A^{(1)}_{n-1}$ IRF Model with Reflecting Boundary Conditions

Cites Work

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• Completely \(\mathbb{Z}\) symmetric \(R\) matrix
• A simple construction of elliptic \(R\)-matrices
• Dynamical symmetry of integrable quantum systems
• \((Z_ N\times\;)^{n-1}\) generalization of the chiral Potts model
• YANG-BAXTER EQUATION FOR BROKEN $\mathbb{Z}_N^{\otimes n-1}$ MODELS
• Crossing symmetry in elliptic solutions of the Yang-Baxter equation and a new L-operator for Belavin's solution
• L-operator for Belavin’s R-matrix acting on the space of theta functions
• Eight-vertex model in lattice statistics and one-dimensional anisotropic Heisenberg chain. II: Equivalence to a generalized ice-type lattice model.

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