The sl_2 loop algebra symmetry of the six-vertex model at roots of unity

Barry M. McCoy; Klaus Fabricius; Tetsuo Deguchi

arxiv: cond-mat/9912141 · v2 · submitted 1999-12-08 · ❄️ cond-mat.stat-mech · hep-th

The sl₂ loop algebra symmetry of the six-vertex model at roots of unity

Tetsuo Deguchi , Klaus Fabricius , Barry M. McCoy This is my paper

classification ❄️ cond-mat.stat-mech hep-th

keywords algebradeltaloopmodelchaincomputedegeneraciesdegenerate

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We demonstrate that the six vertex model (XXZ spin chain) with $\Delta=(q+q^{-1})/2$ and $q^{2N}=1$ has an invariance under the loop algebra of $sl_2$ which produces a special set of degenerate eigenvalues. For $\Delta=0$ we compute the multiplicity of the degeneracies using Jordan Wigner techniques

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