Supertetrahedra and superalgebras
From MaRDI portal
Publication:3069203
DOI10.1063/1.3204504zbMath1298.81110arXiv0805.4653OpenAlexW1512095821MaRDI QIDQ3069203
Publication date: 24 January 2011
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0805.4653
Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Applications of Lie (super)algebras to physics, etc. (17B81) Groups and algebras in quantum theory and relations with integrable systems (81R12)
Related Items
Tetrahedron equation and quantum \(R\) matrices for \(q\)-oscillator representations mixing particles and holes ⋮ Tetrahedron equation and quantum \(R\) matrices for spin representations of \(B^{(1)}_n\), \(D^{(1)}_n\) and \(D^{(2)}_{n+1}\) ⋮ An Ising-type formulation of the six-vertex model ⋮ Integrable 3D lattice model in M-theory ⋮ Tetrahedron and 3D reflection equation from PBW bases of the nilpotent subalgebra of quantum superalgebras ⋮ The pentagon relation and incidence geometry ⋮ Solution of tetrahedron equation and cluster algebras
Cites Work
- Simplified tetrahedron equations: fermionic realization
- Quantum Lie superalgebras and q-oscillators
- Unitary representations of \(U_{q} (\mathfrak s\mathfrak l(2,\mathbb R))\), the modular double and the multiparticle \(q\)-deformed Toda chain
- Multidimensional quadrilateral lattices are integrable.
- Solutions of the Yang-Baxter equation with extra nonadditive parameters. II. Uq(gl(m/n))
- FermionicR-Operator for the Fermion Chain Model
- Solutions of the quantum Yang-Baxter equation with extra nonadditive parameters
- Lattice and q-difference Darboux-Zakharov-Manakov systems via delta -dressing method
- Quantum 2 + 1 evolution model
- Ansatz of Hans Bethe for a two-dimensional lattice Bose gas
- Zamolodchikov's tetrahedron equation and hidden structure of quantum groups
- Quantization of three-wave equations
- Strongly coupled quantum discrete Liouville theory. I: Algebraic approach and duality
