English

The excitations of the sympletic integrable models and their applications

Statistical Mechanics 2016-08-31 v1

Abstract

The Bethe ansatz equations of the fundamental Sp(2N) integrable model are solved by a peculiar configuration of roots leading us to determine the nature of the excitations. They consist of N elementary generalized spinons and N-1 composite excitations made by special convolutions between the spinons. This fact is essential to determine the low-energy behaviour which is argued to be described in terms of 2N Majorana fermions. Our results have practical applications to spin-orbital systems and also shed new light to the connection between integrable models and Wess-Zumino-Witten field theories.

Keywords

Cite

@article{arxiv.cond-mat/0012159,
  title  = {The excitations of the sympletic integrable models and their applications},
  author = {M. J. Martins},
  journal= {arXiv preprint arXiv:cond-mat/0012159},
  year   = {2016}
}

Comments

latex, 10 pages