On the construction of integrable closed chains with quantum supersymmetry

DOI10.1088/0305-4470/30/7/026zbMath0980.37026OpenAlexW2050950175MaRDI QIDQ4248516

Angela Foerster, J. R. Links

Publication date: 10 June 1999

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

Full work available at URL: https://doi.org/10.1088/0305-4470/30/7/026

zbMATH Keywords

closed boundary conditionsintegrable one-dimensional systemsquantum supersymmetry

Mathematics Subject Classification ID

Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Applications of Lie (super)algebras to physics, etc. (17B81) Exactly solvable models; Bethe ansatz (82B23) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Groups and algebras in quantum theory and relations with integrable systems (81R12) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15)

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Hopf algebra symmetries of an integrable Hamiltonian for anyonic pairing ⋮ Bethe ansatz solution of an integrable, non-Abelian anyon chain with \(D(D_{3})\) symmetry ⋮ Ground-state phase diagram for a system of interacting, \(D(D_{3})\) non-Abelian anyons ⋮ Integrable Hamiltonians withD(D_n) symmetry from the Fateev–Zamolodchikov model ⋮ Bethe ansatz solution of a closed spin 1 XXZ Heisenberg chain with quantum algebra symmetry ⋮ Exact solutions of graded Temperley-Lieb Hamiltonians. ⋮ BETHE ANSATZ SOLUTIONS FOR TEMPERLEY–LIEB QUANTUM SPIN CHAINS ⋮ The Yang–Baxter paradox

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