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A New Current Algebra and the Reflection Equation

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Abstract

We establish an explicit algebra isomorphism between the quantum reflection algebra for the \({U_q(\widehat{sl_2}) R}\)-matrix and a new type of current algebra. These two algebras are shown to be two realizations of a special case of tridiagonal algebras (q-Onsager).

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Authors and Affiliations

  1. Laboratoire de Mathématiques et Physique Théorique CNRS/UMR 6083, Fédération Denis Poisson, Université de Tours, Parc de Grammont, 37200, Tours, France

    P. Baseilhac

  2. Institute for Theoretical Physics, Valckenierstraat 65, 1018 XE, Amsterdam, The Netherlands

    K. Shigechi

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  1. P. Baseilhac
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  2. K. Shigechi
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Baseilhac, P., Shigechi, K. A New Current Algebra and the Reflection Equation. Lett Math Phys 92, 47–65 (2010). https://doi.org/10.1007/s11005-010-0380-x

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  • DOI: https://doi.org/10.1007/s11005-010-0380-x

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