Fermionic representations of integrable lattice systems

DOI10.1088/0305-4470/31/38/009zbMath0960.82004arXivcond-mat/9805129OpenAlexW3100746335MaRDI QIDQ4259781

Frank Göhmann, Shuichi Murakami

Publication date: 30 August 1999

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

Full work available at URL: https://arxiv.org/abs/cond-mat/9805129

zbMATH Keywords

integrable systemsYang-Baxter equationHubbard model\(L\)-matrixgraded vector spacesFermi operatorsgenerators of symmetriesalgebraic Bethe ansatz solutiongraded Yang-Baxter algebrafermionic Hamiltoniangraded integrable lattice systemsinfinite coupling limit

Mathematics Subject Classification ID

Exactly solvable models; Bethe ansatz (82B23) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Lattice dynamics; integrable lattice equations (37K60)

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On the quantization of continuous non-ultralocal integrable systems ⋮ Truncation identities for the small polaron fusion hierarchy ⋮ Bethe ansatz solution of the small polaron with nondiagonal boundary terms ⋮ Exact solution and thermodynamics of a spin chain with long-range elliptic interactions ⋮ Quantum quench in the infinitely repulsive Hubbard model: the stationary state ⋮ Fermionization of the spin-\(S\) Uimin-Lai-Sutherland model: generalisation of the supersymmetric \(t\)-\(J\) model to spin-\(S\) ⋮ Integrable chain model with additional staggered model parameter ⋮ Baxter's Q-operators for supersymmetric spin chains ⋮ Algebraic Bethe ansatz for the gl\((1|2)\) generalized model and Lieb-Wu equations ⋮ Explicit R-matrices for inhomogeneous 3D chiral Potts models: integrability and the action formulation for IM ⋮ Results on the symmetries of integrable fermionic models on chains

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