Construction of some missing eigenvectors of the XYZ spin chain at the discrete coupling constants and the exponentially large spectral degeneracy of the transfer matrix

DOI10.1088/0305-4470/35/4/303zbMath0993.82018arXivcond-mat/0109078OpenAlexW2056326876MaRDI QIDQ4533860

Tetsuo Deguchi

Publication date: 11 June 2002

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/0109078

zbMATH Keywords

Bethe ansatz\(XYZ\) spin chain

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)

Related Items (6)

Analytic theory of the eight-vertex model ⋮ The eight-vertex model and lattice supersymmetry ⋮ Dynamical spin chains in 4D \(\mathcal{N} = 2\) SCFTs ⋮ An algebraic derivation of the eigenspaces associated with an Ising-like spectrum of the superintegrable chiral Potts model ⋮ The Onsager algebra symmetry of τ^(j)-matrices in the superintegrable chiral Potts model ⋮ The transfer matrix of a superintegrable chiral Potts model as theQoperator of root-of-unity XXZ chain with cyclic representation of U_{\mathsf {q}}(sl_2)

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