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A New Dynamical Reflection Algebra and Related Quantum Integrable Systems |
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| Authors: | Jean Avan Eric Ragoucy |
| Affiliation: | 1. LPTM, CNRS and Universit?? de Cergy-Pontoise, 2 avenue A. Chauvin, 95302, Cergy-Pontoise Cedex, France 2. LAPTh, CNRS and Universit?? de Savoie, 9 chemin de Bellevue, BP 110, 74941, Annecy-Le-Vieux Cedex, France |
| Abstract: | We propose a new dynamical reflection algebra, distinct from the previous dynamical boundary algebra and semi-dynamical reflection algebra. The associated Yang?CBaxter 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?CSchneider Hamiltonians. |
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