A deformed analogue of Onsager's symmetry in the XXZ open spin chain

Details A deformed analogue of Onsager's symmetry in the XXZ open spin chain A deformed analogue of Onsager's symmetry in the XXZ open spin chain

2005-07-06

arxiv.org/abs/hep-th/0507053v3

J.Stat.Mech.0510:P10005,2005

Physics

High Energy Physics

High Energy Physics - Theory

12 pages; LaTeX file with amssymb; v2: typos corrected, clarifications in the text; v3: minor changes in references, version t

Scientific paper

10.1088/1742-5468/2005/10/P10005

The 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.

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