Gaudin models with \(\mathcal U_q(\mathfrak{osp}(1|2))\) symmetry

DOI10.1016/j.nuclphysb.2005.03.008zbMath1207.82016arXivmath-ph/0501040OpenAlexW1743381729MaRDI QIDQ875832

Matteo Petrera, Orlando Ragnisco, Giovanni Satta, Fabio Musso

Publication date: 16 April 2007

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

Full work available at URL: https://arxiv.org/abs/math-ph/0501040

Mathematics Subject Classification ID

Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Exactly solvable models; Bethe ansatz (82B23) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

Related Items (3)

Coupling coefficients of \(\operatorname{su}_{q}(1,1)\) and multivariate \(q\)-Racah polynomials ⋮ An integrable discretization of the rational \({\mathfrak su(2)}\) Gaudin model and related systems ⋮ The higher rank \(q\)-deformed Bannai-Ito and Askey-Wilson algebra

Cites Work

• Unnamed Item
• The enveloping algebra of the Lie superalgebra \(\mathfrak{osp}(1,2)\)
• Scasimir operator, scentre and representations of \({\mathcal U}_q(\text{osp}(1 |2))\)
• \(N\)-dimensional classical integrable systems from Hopf algebras
• The spin-½ Calogero-Gaudin system and itsq-deformation
• Creation operators and Bethe vectors of the osp(1|2) Gaudin model
• Boson–fermion models for osp(1,2) and U q[osp(1,2)]
• On integrable models related to the osp(1,2) Gaudin algebra
• A systematic construction of completely integrable Hamiltonians from coalgebras
• Gaudin models and bending flows: a geometrical point of view
• Classical and quantum sl(1‖2) superalgebras, Casimir operators and quantum chain Hamiltonians

This page was built for publication: Gaudin models with \(\mathcal U_q(\mathfrak{osp}(1|2))\) symmetry