New solutions to the tetrahedron equation associated with quantized six-vertex models
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Publication:6109360
DOI10.1007/s00220-023-04711-yarXiv2208.10258OpenAlexW4378473353MaRDI QIDQ6109360
Shuichiro Matsuike, Akihito Yoneyama, Atsuo Kuniba
Publication date: 28 July 2023
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2208.10258
Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Exactly solvable models; Bethe ansatz (82B23) Groups and algebras in quantum theory and relations with integrable systems (81R12)
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- Tetrahedron equation and quantum \(R\) matrices for spin representations of \(B^{(1)}_n\), \(D^{(1)}_n\) and \(D^{(2)}_{n+1}\)
- Generalized chiral Potts models and minimal cyclic representations of \(U_ q (\widehat {\mathfrak gl}(n,C))\)
- New solvable lattice models in three dimensions
- Global crystal bases of quantum groups
- Solutions of the functional tetrahedron equation connected with the local Yang-Baxter equation for the ferro-electric condition
- The vertex formulation of the Bazhanov-Baxter model.
- Tetrahedral Zamolodchikov algebras corresponding to Baxter's \(L\)- operators
- \((Z_ N\times\;)^{n-1}\) generalization of the chiral Potts model
- Tetrahedron and 3D reflection equation from PBW bases of the nilpotent subalgebra of quantum superalgebras
- Tetrahedron equation and quantum \(R\) matrices for \(q\)-oscillator representations of \(U_q(A^{(2)}_{2n})\), \(U_q(C^{(1)}_n)\) and \(U_q(D^{(2)}_{n+1})\)
- Quantum groups in three-dimensional integrability
- Quantum Geometry of 3-Dimensional Lattices and Tetrahedron Equation
- Tetrahedron and 3D reflection equations from quantized algebra of functions
- Matrix product solutions to the reflection equation from three dimensional integrability
- Zamolodchikov's tetrahedron equation and hidden structure of quantum groups
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