English

Root of unity symmetries in the 8 and 6 vertex models

Statistical Mechanics 2007-05-23 v1 High Energy Physics - Theory

Abstract

We review the recently discovered symmetries of the 8 and 6 vertex models which exist at roots of unity and present their relation with representation theory of affine Lie algebras, Drinfeld polynomials and Bethe vectors.

Keywords

Cite

@article{arxiv.cond-mat/0411419,
  title  = {Root of unity symmetries in the 8 and 6 vertex models},
  author = {Klaus Fabricius and Barry M. McCoy},
  journal= {arXiv preprint arXiv:cond-mat/0411419},
  year   = {2007}
}

Comments

13 pages, to appear in Proceedings of the RIMS 2004 workshop on "Recent Progress in Solvable Lattice Models"