Central elements of the elliptic \(\mathbb Z_n\) monodromy matrix algebra at roots of unity

DOI10.1016/j.nuclphysb.2004.12.033zbMath1115.17301arXivhep-th/0404089OpenAlexW2079321656MaRDI QIDQ874667

Wen-Li Yang, Ryu Sasaki, Alexander A. Belavin

Publication date: 10 April 2007

Published in: Nuclear Physics. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/0404089

zbMATH Keywords

integrable modelscentral elementselliptical quantum group and quantum group

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Applications of Lie (super)algebras to physics, etc. (17B81) Exactly solvable models; Bethe ansatz (82B23)

Related Items (3)

Multiple reference states and complete spectrum of the \(\mathbb Z_{n}\) Belavin model with open boundaries ⋮ Partition function of the eight-vertex model with domain wall boundary condition ⋮ The quantum determinant of the elliptic algebra $ {\mathcal{A}_{q, p}(\mathfrak{\widehat{gl}}_N)}$

Cites Work

• Some finite-dimensional representations of generalized Sklyanin algebras
• A q-difference analogue of \(U({\mathfrak g})\) and the Yang-Baxter equation
• The \(A_ n^{(1)}\) face models
• Cyclic monodromy matrices for \(sl(n)\) trigonometric \(R\)-matrices
• Dynamical symmetry of integrable quantum systems
• Fusion procedure and Sklyanin algebra
• Algebras connected with the Z n elliptic solution of the Yang–Baxter equation
• Unnamed Item

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