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Completeness of the Six Vertex Model with Reflecting Boundary Conditions

Exactly Solvable and Integrable Systems 2017-09-22 v1 Mathematical Physics math.MP

Abstract

In this note, we prove the completeness of Bethe vectors for the six vertex model with diagonal reflecting boundary conditions. We show that as inhomogeneity parameters get sent to infinity in a successive order the Bethe vectors give a complete basis of the space of states.

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Cite

@article{arxiv.1709.07416,
  title  = {Completeness of the Six Vertex Model with Reflecting Boundary Conditions},
  author = {Ammar Husain},
  journal= {arXiv preprint arXiv:1709.07416},
  year   = {2017}
}

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11 pages