The sl2 loop algebra symmetry of the six-vertex model at roots of unity
Tetsuo Deguchi, Klaus Fabricius, Barry M. McCoy
Abstract
We demonstrate that the six vertex model (XXZ spin chain) with Δ=(q+q-1)/2 and q2N=1 has an invariance under the loop algebra of sl2 which produces a special set of degenerate eigenvalues. For Δ=0 we compute the multiplicity of the degeneracies using Jordan Wigner techniques
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