English

Resolution of the Nested Hierarchy for Rational sl(n) Models

Exactly Solvable and Integrable Systems 2008-11-26 v1 Condensed Matter High Energy Physics - Theory

Abstract

We construct Drinfel'd twists for the rational sl(n) XXX-model giving rise to a completely symmetric representation of the monodromy matrix. We obtain a polarization free representation of the pseudoparticle creation operators figuring in the construction of the Bethe vectors within the framework of the quantum inverse scattering method. This representation enables us to resolve the hierarchy of the nested Bethe ansatz for the sl(n) invariant rational Heisenberg model. Our results generalize the findings of Maillet and Sanchez de Santos for sl(2) models.

Keywords

Cite

@article{arxiv.nlin/0002027,
  title  = {Resolution of the Nested Hierarchy for Rational sl(n) Models},
  author = {T. -D. Albert and H. Boos and R. Flume and K. Ruhlig},
  journal= {arXiv preprint arXiv:nlin/0002027},
  year   = {2008}
}

Comments

25 pages, no figures