On the boundaries of quantum integrability for the spin-1/2 Richardson-Gaudin system

DOI10.1016/j.nuclphysb.2014.06.018zbMath1325.82007arXiv1405.7451OpenAlexW2055839306MaRDI QIDQ894135

Phillip S. Isaac, Inna Lukyanenko, J. R. Links

Publication date: 23 November 2015

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

Full work available at URL: https://arxiv.org/abs/1405.7451

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) NLS equations (nonlinear Schrödinger equations) (35Q55) Inverse scattering problems in quantum theory (81U40) Exactly solvable models; Bethe ansatz (82B23) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15) Yang-Baxter equations (16T25)

Related Items (11)

Elliptic BCS-Richardson model and the modified algebraic Bethe ansatz ⋮ Integrable spin-${\frac{1}{2}}$ Richardson–Gaudin XYZ models in an arbitrary magnetic field ⋮ A Q-operator for open spin chains I. Baxter’s TQ relation ⋮ Classical $r$-matrices, ``elliptic BCS and Gaudin-type Hamiltonians and spectral problem ⋮ Elliptic Gaudin-type model in an external magnetic field and modified algebraic Bethe ansatz ⋮ Bethe states and Knizhnik-Zamolodchikov equations of the trigonometric Gaudin model with triangular boundary ⋮ Twisted rational \(r\)-matrices and algebraic Bethe ansatz: application to generalized Gaudin and Richardson models ⋮ Anisotropic BCS-Richardson model and algebraic Bethe ansatz ⋮ Freidel-Maillet type presentations of \(U_q(sl_2)\) ⋮ Quantum-classical correspondence for gl(1|1) supersymmetric Gaudin magnet with boundary ⋮ ‘Bethe-ansatz-free’ eigenstates for spin-1/2 Richardson–Gaudin integrable models

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