New integrable lattice models from Fuss-Catalan algebras
From MaRDI portal
Publication:1570672
DOI10.1016/S0550-3213(98)00603-8zbMath0953.82018arXivhep-th/9807074OpenAlexW3102604173MaRDI QIDQ1570672
Publication date: 11 July 2000
Published in: Nuclear Physics. B (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/hep-th/9807074
Yang-Baxter equationFuss-Catalan algebrashyperbolic solutionsdense gases of colored loopstwo-dimensional integrable lattice models
General theory of von Neumann algebras (46L10) Exactly solvable models; Bethe ansatz (82B23) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Subfactors and their classification (46L37)
Related Items
On representations of Fuss-Catalan algebras, \(T\)-systems, networks and dimers, Integrable models from singly generated planar algebras, On the algebraic approach to solvable lattice models, Perfect \(k\)-colored matchings and \((k+2)\)-gonal tilings, Folding and coloring problems in mathematics and physics, On the origin and development of subfactors and quantum topology, Irreducibility of certain \(\text{FC}_n\)-modules
Cites Work
- Unnamed Item
- Unnamed Item
- Soliton equations and fundamental representations of \(A_{21}^ 2\)
- Meander, folding, and arch statistics
- State models and the Jones polynomial
- Solvable lattice models related to the vector representation of classical simple Lie algebras
- Algebras associated to intermediate subfactors
- Meanders and the Temperley-Lieb algebra
- Lattice realizations of unitary minimal modular invariant partition functions
- INTRODUCTION TO THE YANG-BAXTER EQUATION
- Solvable lattice models labelled by Dynkin diagrams
- Relations between the ‘percolation’ and ‘colouring’ problem and other graph-theoretical problems associated with regular planar lattices: some exact results for the ‘percolation’ problem
- On the construction of trigonometric solutions of the Yang-Baxter equation
