Solutions of the quantum Yang-Baxter equation with extra nonadditive parameters

DOI10.1088/0305-4470/27/19/025zbMath0844.17009arXivhep-th/9405138OpenAlexW2026453484MaRDI QIDQ4875036

A. J. Bracken, Yao-Zhong Zhang, Mark D. Gould, Gustav W. Delius

Publication date: 3 September 1996

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/9405138

zbMATH Keywords

Yang-Baxter equationquantum noncompact algebrastype-I quantum superalgebras

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

Related Items (16)

Representations of the quantum doubles of finite group algebras and spectral parameter dependent solutions of the Yang–Baxter equation ⋮ Eigenvalues of Casimir invariants for type I quantum superalgebras ⋮ One-parameter family of an integrable \(\text{spl}(2| 1)\) vertex model: Algebraic Bethe ansatz and ground state structure ⋮ Phase diagram of an integrable alternating \(U_q[sl(2|1)\) superspin chain] ⋮ Integrable electron model with correlated hopping and quantum supersymmetry. ⋮ Super-Yangian double and its central extension. ⋮ Toda soliton mass corrections and the particle-soliton duality conjecture ⋮ Supertetrahedra and superalgebras ⋮ A construction for \(R\)-matrices without difference property in the spectral parameter ⋮ Integrable supersymmetric correlated electron chain with open boundaries ⋮ On the construction and solution of \(U_q(\widehat{\text{gl}}(2,1;{\mathbb{C}}))\)-symmetric models ⋮ Quasi-Hopf superalgebras and elliptic quantum supergroups ⋮ Automatic construction of explicit R matrices for the one-parameter families of irreducible typical highest weight (\(\dot 0_m| \dot \alpha_n\)) representations of \(U_q[gl(m| n)\)] ⋮ Multi-parametric R-matrix for the $\mathfrak {sl}(2|1)$sl(2|1) Yangian ⋮ New integrable 1D models of superconductivity ⋮ Classifying integrable spin-1/2 chains with nearest neighbour interactions

This page was built for publication: Solutions of the quantum Yang-Baxter equation with extra nonadditive parameters