English

Classification of reflection matrices related to (super) Yangians and application to open spin chain models

Quantum Algebra 2010-04-05 v3 High Energy Physics - Theory Mathematical Physics math.MP

Abstract

We present a classification of diagonal, antidiagonal and mixed reflection matrices related to Yangian and super-Yangian R matrices associated to the infinite series so(m), sp(n) and osp(m|n). We formulate the analytical Bethe Ansatz resolution for the so(m) and sp(n) open spin chains with boundary conditions described by the diagonal solutions.

Keywords

Cite

@article{arxiv.math/0304150,
  title  = {Classification of reflection matrices related to (super) Yangians and application to open spin chain models},
  author = {D. Arnaudon and J. Avan and N. Crampe' and A. Doikou and L. Frappat and E. Ragoucy},
  journal= {arXiv preprint arXiv:math/0304150},
  year   = {2010}
}

Comments

36 pages ; references added ; typos corrected, precisions added