Functional tetrahedron equation
From MaRDI portal
Publication:1567931
DOI10.1007/BF02557179zbMath0941.82018arXivsolv-int/9801015OpenAlexW2034508451MaRDI QIDQ1567931
Rinat M. Kashaev, Igor G. Korepanov, Sergey M. Sergeev
Publication date: 26 June 2000
Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/solv-int/9801015
Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Exactly solvable models; Bethe ansatz (82B23)
Related Items
Nonlinear Schrödinger type tetrahedron maps, Zamolodchikov tetrahedral equation and higher Hamiltonians of \(2d\) quantum integrable systems, Tetrahedron maps, Yang–Baxter maps, and partial linearisations, Theory and phenomenology for a variety of classical and quantum phase transitions, Discrete nonlinear hyperbolic equations. Classification of integrable cases, Cohomology of the rational ``electric tetrahedron relation, Tetrahedron equation and quantum \(R\) matrices for spin representations of \(B^{(1)}_n\), \(D^{(1)}_n\) and \(D^{(2)}_{n+1}\), Parametric 4-simplex maps of degenerated NLS type, Local Yang–Baxter correspondences and set-theoretical solutions to the Zamolodchikov tetrahedron equation, Birational solutions to the set-theoretical 4-simplex equation, Cohomologies ofn-simplex relations, Set-theoretical solutions to the Zamolodchikov tetrahedron equation on associative rings and Liouville integrability, Non-commutative birational maps satisfying Zamolodchikov equation, and Desargues lattices, 3D symplectic map, Matrix KP: tropical limit and Yang-Baxter maps, Boundary from bulk integrability in three dimensions: 3D reflection maps from tetrahedron maps, Multidimensional analogues of the geometric \(s\leftrightarrow t\) duality, Geometry of quadrilateral nets: second Hamiltonian form, Geometric torsions and invariants of manifolds with a triangulated boundary, Solution of tetrahedron equation and cluster algebras, Tetrahedron maps and symmetries of three dimensional integrable discrete equations, Fundamental mathematical structures of integrable models, An extension of the Hirota bilinear difference equation, Finite-dimensional analogues of the string \(s\leftrightarrow t\) duality and the pentagon equation, SYMMETRIES RELATED TO YANG–BAXTER EQUATION AND REFLECTION EQUATIONS, Noncommutative solutions to Zamolodchikov's tetrahedron equation and matrix six-factorisation problems, Invariants in separated variables: Yang-Baxter, entwining and transfer maps, Difference systems in bond and face variables and non-potential versions of discrete integrable systems, More 1-cocycles for classical knots, Quantum geometry of three-dimensional lattices, Non-commutative double-sided continued fractions, Electrical varieties as vertex integrable statistical models, Yang–Baxter maps, Darboux transformations, and linear approximations of refactorisation problems, Entwining Yang–Baxter maps related to NLS type equations, 2n-rational maps, Algebraic and differential-geometric constructions of set-theoretical solutions to the Zamolodchikov tetrahedron equation
Cites Work
- Solutions of the functional tetrahedron equation connected with the local Yang-Baxter equation for the ferro-electric condition
- On pentagon, ten-term, and tetrahedron relations
- On Hirota's difference equations
- On discrete three-dimensional equations associated with the local Yang-Baxter relation
- Labelling schemes for tetrahedron equations and dualities between them
