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29 March 2024
 
  » arxiv » math.QA/0306032

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On Bethe vectors in the XXZ model at roots of unity
V.Tarasov ;
Date 2 Jun 2003
Journal Zap. nauch. semin. POMI 291 (2002), 251--262
Subject Quantum Algebra; Mathematical Physics | math.QA math-ph math.MP
AbstractWe give a construction of creation operators responsible for appearance of Bethe vectors with the same eigenvalues of the transfer-matrix for the inhomogeneous arbitrary spin XXZ model at roots of unity with particular quasiperiodic boundary conditions. This construction generalizes the similar one, recently obtained by K.Fabricius and B.M.McCoy, for the homogeneous six-vertex model with periodic boundary conditions. Even in the last case, the given proof for the main formulae are simpler than the original one.
Source arXiv, math.QA/0306032
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