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

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

2011-04-08

arxiv.org/abs/1104.1591v2

Physics

Mathematical Physics

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

Scientific paper

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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