From Quantum Affine Symmetry to Boundary Askey-Wilson Algebra and Reflection Equation

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dc.creatorAneva, B.
dc.creatorChaichian, M.
dc.creatorKulish, P. P.
dc.date2008-04-10
dc.date2008-11-01
dc.date.accessioned2026-07-07T11:49:45Z
dc.date.available2026-07-07T11:49:45Z
dc.descriptionWithin the quantum affine algebra representation theory we construct linear covariant operators that generate the Askey-Wilson algebra. It has the property of a coideal subalgebra, which can be interpreted as the boundary symmetry algebra of a model with quantum affine symmetry in the bulk. The generators of the Askey-Wilson algebra are implemented to construct an operator valued $K$- matrix, a solution of a spectral dependent reflection equation. We consider the open driven diffusive system where the Askey-Wilson algebra arises as a boundary symmetry and can be used for an exact solution of the model in the stationary state. We discuss the possibility of a solution beyond the stationary state on the basis of the proposed relation of the Askey-Wilson algebra to the reflection equation.
dc.identifierhttps://arxiv.org/abs/0804.1623
dc.identifierhttp://arxiv.org/abs/0804.1623
dc.identifierJ.Phys.A41:135201,2008
dc.identifierdoi:10.1088/1751-8113/41/13/135201
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/203345
dc.subjectMathematical Physics
dc.subjectHigh Energy Physics - Theory
dc.subjectQuantum Algebra
dc.titleFrom Quantum Affine Symmetry to Boundary Askey-Wilson Algebra and Reflection Equation
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