On the symmetries of integrable systems with boundaries

Details On the symmetries of integrable systems with boundaries On the symmetries of integrable systems with boundaries

2005-09-21

arxiv.org/abs/hep-th/0509162v1

Czech.J.Phys. 55 (2005) 1397-1402

Physics

High Energy Physics

High Energy Physics - Theory

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

Scientific paper

10.1007/s10582-006-0016-7

We employ appropriate realizations of the affine Hecke algebra and we recover previously known non-diagonal solutions of the reflection equation for the $U_{q}(\hat{gl_n})$ 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.

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