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Algebraic properties of an integrable t-J model with impurities
Institution:1. Département de Mathématiques, Université D’Evry Val D’Essonne, 23 Bd. De France, Evry Cedex 91037, France;2. Departamento de Matemáticas, Universidad de Salamanca, Plaza de la Merced, 1–4, Salamanca 37008, Spain
Abstract:We investigate the algebraic structure of a recently proposed integrable t-J model with impurities. Three forms of the Bethe ansatz equations are presented corresponding to the three choices for the grading. We prove that the Bethe ansatz states are highest weight vectors of the underlying gl(2′1) supersymmetry algebra. By acting with the gl(2′1) generators we construct a complete set of states for the model.
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