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

Abstract : 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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https://hal.archives-ouvertes.fr/hal-00082311
Contributor : Pascal Baseilhac <>
Submitted on : Tuesday, June 27, 2006 - 2:03:24 PM
Last modification on : Monday, December 16, 2019 - 4:02:14 PM

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P. Baseilhac, K. Koizumi. A deformed analogue of Onsager's symmetry in the XXZ open spin chain. Journal of Statistical Mechanics: Theory and Experiment, IOP Publishing, 2005, 0510, pp.P005. ⟨hal-00082311⟩

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