Pascal Baseilhac and Kozo Koizumi J. Stat. Mech. (2005) P10005 doi:10.1088/1742-5468/2005/10/P10005
Pascal Baseilhac and Kozo Koizumi
Show affiliationsThe XXZ open spin chain with general integrable boundary conditions is shown to possess a q-deformed analogue of the Onsager's algebra as fundamental non-Abelian symmetry which ensures the integrability of the model. This symmetry implies the existence of a finite set of independent mutually commuting nonlocal operators which form an Abelian subalgebra. The transfer matrix and local conserved quantities, for instance the Hamiltonian, are expressed in terms of these nonlocal operators. It follows that Onsager's original approach of the planar Ising model can be extended to the XXZ open spin chain.
algebraic structures of integrable models
E-print Number: hep-th/0507053
Cited: by |
Refers: to
82B20 Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs
Issue 10 (October 2005)
Received 6 July 2005, accepted for publication 8 September 2005
Published 7 October 2005
Pascal Baseilhac and Kozo Koizumi J. Stat. Mech. (2005) P10005
Jamila Rahmoun et al J. Stat. Mech. (2008) P06011
H J Hilhorst et al J. Stat. Mech. (2004) P10002
Jing Hu et al J. Stat. Mech. (2009) P02066
Peter Tass et al 2010 J. Neural Eng. 7 016009
Laurent Boué et al J. Stat. Mech. (2009) P11010
Hui Zhai and Yong-Shi Wu J. Stat. Mech. (2005) P07003
Gérard Ben Arous et al J. Stat. Mech. (2008) L04003
Johannes Fuchs et al J. Stat. Mech. (2008) P04015
N Sterer et al 2009 J. Breath Res. 3 016006