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arXiv · 0804.1623

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

B. Aneva·M. Chaichian·P. P. Kulish
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Abstract

Within 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.

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BibTeXRIS

B. Aneva, M. Chaichian, P. P. Kulish. 2008-11-01. From Quantum Affine Symmetry to Boundary Askey-Wilson Algebra and Reflection Equation. https://doi.org/10.1088/1751-8113/41/13/135201

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