English

Mixed integrable SU(N) vertex model with arbitrary twists

Exactly Solvable and Integrable Systems 2009-11-10 v1

Abstract

We consider the quantum inverse scattering method for several mixed integrable models based on the rational SU(N) R-matrix with general toroidal boundary conditions. This includes systems whose Hilbert spaces are invariant by the discrete representations of the group SU(2) and the non-compact group SU(1,1) as well as the conjugate representation of the SU(N) symmetry. Introducing certain transformations on the quantum spaces we are able to solve generalizaed impurity problems including those related to singular matrices.

Keywords

Cite

@article{arxiv.nlin/0406021,
  title  = {Mixed integrable SU(N) vertex model with arbitrary twists},
  author = {G. A. P. Ribeiro and M. J. Martins},
  journal= {arXiv preprint arXiv:nlin/0406021},
  year   = {2009}
}

Comments

32 pages, latex