Star-triangle relation for a three-dimensional model
From MaRDI portal
Publication:5919850
DOI10.1007/BF01049952zbMath0876.17032MaRDI QIDQ5919850
Vladimir V. Bazhanov, Rodney Baxter
Publication date: 25 August 1993
Published in: Journal of Statistical Physics (Search for Journal in Brave)
Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Applications of Lie (super)algebras to physics, etc. (17B81) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)
Related Items
Finite dimensional quantum Teichmüller space from the quantum torus at root of unity, Yang-Baxter type equations and posets of maximal chains, Theory and phenomenology for a variety of classical and quantum phase transitions, Simplified tetrahedron equations: fermionic realization, Weyl pair, current algebra and shift operator, Explicit R-matrices for inhomogeneous 3D chiral Potts models: integrability and the action formulation for IM, Quantum geometry of three-dimensional lattices
Cites Work
- Unnamed Item
- Generalized chiral Potts models and minimal cyclic representations of \(U_ q (\widehat {\mathfrak gl}(n,C))\)
- \(R\)-matrix for cyclic representations of \(U_ q(\widehat{{\mathfrak sl}}(3,{\mathbb{C}}))\) at \(q^ 3=1\)
- \((Z_ N\times\;)^{n-1}\) generalization of the chiral Potts model
- Partition function of the eight-vertex lattice model
- Chiral Potts model as a descendant of the six-vertex model
- SPATIAL SYMMETRY, LOCAL INTEGRABILITY AND TETRAHEDRON EQUATIONS IN THE BAXTER-BAZHANOV MODEL
- Some Exact Results for the Many-Body Problem in one Dimension with Repulsive Delta-Function Interaction
- Crystal Statistics. I. A Two-Dimensional Model with an Order-Disorder Transition