English

On the symmetries of integrable systems with boundaries

High Energy Physics - Theory 2016-09-06 v1

Abstract

We employ appropriate realizations of the affine Hecke algebra and we recover previously known non-diagonal solutions of the reflection equation for the Uq(gln^)U_{q}(\hat{gl_n}) case. With the help of linear intertwining relations involving the aforementioned solutions of the reflection equation, the symmetry of the open spin chain with a particular choice of the left boundary is exhibited. The symmetry of the corresponding local Hamiltonian is also explored.

Keywords

Cite

@article{arxiv.hep-th/0509162,
  title  = {On the symmetries of integrable systems with boundaries},
  author = {Anastasia Doikou},
  journal= {arXiv preprint arXiv:hep-th/0509162},
  year   = {2016}
}

Comments

6 pages, Latex; contribution to the XIVth International Colloquium on Integrable systems, Prague, June 2005