Solutions to the Yang-Baxter equations with \(osp_q(1|2)\) symmetry: Lax operators

DOI10.1016/j.nuclphysb.2008.09.001zbMath1192.81299arXiv0806.2781OpenAlexW1965955364MaRDI QIDQ985838

J. Martínez

Publication date: 6 August 2010

Published in: Nuclear Physics. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0806.2781

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) Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Quantum equilibrium statistical mechanics (general) (82B10)

Related Items

Dual description of \(\eta\)-deformed OSP sigma models, On the solutions to the multi-parametric Yang-Baxter equations, New solutions to the \(sl_q(2)\)-invariant Yang-Baxter equations at roots of unity, Series of the solutions to Yang-Baxter equations: Hecke type matrices and descendant R-, L-operators

Cites Work

• Unnamed Item
• Unnamed Item
• \(R\)-matrices and spectrum of vertex models based on superalgebras
• Universal R-matrix of the quantum superalgebra osp(2\(| 1)\)
• Quantum OSP-invariant nonlinear Schrödinger equation
• A remarkable connection between the representations of the Lie superalgebras osp(1,2n) and the Lie algebras o(2n+1)
• Yang-Baxter equation and representation theory. I
• Quantized enveloping algebras associated with simple Lie superalgebras and their universal \(R\)-matrices
• Scasimir operator, scentre and representations of \({\mathcal U}_q(\text{osp}(1 |2))\)
• The algebraic Bethe ansatz for rational braid-monoid lattice models
• Twisted quantum affine superalgebra \(U_q[\text{gl}(m|n)^{(2)}\) and new \(U_q[\text{osp}(m|n)]\) invariant \(R\)-matrices]
• Irreducible representations of the osp(2,1) and spl(2,1) graded Lie algebras
• Clebsch–Gordan coefficients for the quantum superalgebra Uq (osp(1‖2))
• Intersecting Loop Model as a Solvable Super Spin Chain
• Trigonometric osp(1|2) Gaudin model
• Basic hypergeometric functions and covariant spaces for even-dimensional representations ofU_q[osp(1/2)]
• Integrable quantum field theories with OSP\((m/2n)\) symmetries