Central extension of the reflection equations and an analog of Miki's formula

Abstract

Two different types of centrally extended quantum reflection algebras are introduced. Realizations in terms of the elements of the central extension of the Yang-Baxter algebra are exhibited. A coaction map is identified. For the special case of $U_q(\widehat{s{l}_2})$, a realization in terms of elements satisfying the Zamolodchikov-Faddeev algebra - a `boundary' analog of Miki's formula - is also proposed, providing a free field realization of $O_q(\widehat{s{l}_2})$ (q-Onsager) currents.

11 pages; two references added; to appear in J. Phys. A

References in corpus (7)

• Correlation functions of the open XXZ chain I
• Construction of a Coordinate Bethe Ansatz for the asymmetric simple exclusion process with open boundaries
• Correlation functions of the open XXZ chain II
• A new current algebra and the reflection equation
• Eigenvectors of open XXZ and ASEP models for a class of non-diagonal boundary conditions
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Cited by in corpus (4)

• The half-infinite XXZ chain in Onsager's approach
• Correlation functions of the half-infinite XXZ spin chain with a triangular boundary
• Form factors of the half-infinite XXZ spin chain with a triangular boundary
• Analogues of Lusztig's higher order relations for the q-Onsager algebra