4 citations · 6 across the 3 of their papers we have counts for
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Extension of a Borel subalgebra symmetry into the sl(2) loop algebra symmetry for the twisted XXZ spin chain at roots of unity and the Onsager algebra
Tetsuo Deguchi
We discuss a conjecture that the twisted transfer matrix of the six-vertex model at roots of unity with some discrete twist angles should have the sl(2) loop algebra symmetry. As a…
Introduction to solvable lattice models in statistical and mathematical physics
Tetsuo Deguchi
Some features of integrable lattice models are reviewed for the case of the six-vertex model. By the Bethe ansatz method we derive the free energy of the six-vertex model. Then, fr…
XXZ Bethe states as highest weight vectors of the loop algebra at roots of unity
Tetsuo Deguchi
We prove some part of the conjecture that regular Bethe ansatz eigenvectors of the XXZ spin chain at roots of unity are highest weight vectors of the loop algebra. Here …
The sl_2 loop algebra symmetry of the six-vertex model at roots of unity
Tetsuo Deguchi, Klaus Fabricius, Barry M. McCoy
We demonstrate that the six vertex model (XXZ spin chain) with and has an invariance under the loop algebra of which produces a special set of de…