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A New Dynamical Reflection Algebra and Related Quantum Integrable Systems

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Abstract

We propose a new dynamical reflection algebra, distinct from the previous dynamical boundary algebra and semi-dynamical reflection algebra. The associated Yang–Baxter equations, coactions, fusions, and commuting traces are derived. Explicit examples are given and quantum integrable Hamiltonians are constructed. They exhibit features similar to the Ruijsenaars–Schneider Hamiltonians.

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Authors and Affiliations

  1. LPTM, CNRS and Université de Cergy-Pontoise, 2 avenue A. Chauvin, 95302, Cergy-Pontoise Cedex, France

    Jean Avan

  2. LAPTh, CNRS and Université de Savoie, 9 chemin de Bellevue, BP 110, 74941, Annecy-Le-Vieux Cedex, France

    Eric Ragoucy

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  1. Jean Avan
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  2. Eric Ragoucy
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Avan, J., Ragoucy, E. A New Dynamical Reflection Algebra and Related Quantum Integrable Systems. Lett Math Phys 101, 85–101 (2012). https://doi.org/10.1007/s11005-012-0548-7

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  • DOI: https://doi.org/10.1007/s11005-012-0548-7

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