On the symmetries of integrable systems with boundaries
arXiv:hep-th/0509162 · doi:10.1007/s10582-006-0016-7
Abstract
We employ appropriate realizations of the affine Hecke algebra and we recover previously known non-diagonal solutions of the reflection equation for the 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.
6 pages, Latex; contribution to the XIVth International Colloquium on Integrable systems, Prague, June 2005