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arXiv · 1104.1591

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

P. Baseilhac·S. Belliard
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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 $U_q(\hat{sl_2})$, 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 $O_q(\hat{sl_2})$ (q-Onsager) currents.

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P. Baseilhac, S. Belliard. 2011-04-08. Central extension of the reflection equations and an analog of Miki's formula. https://doi.org/10.1088/1751-8113/44/41/415205

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