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Drinfeld Twists and Algebraic Bethe Ansatz of the Supersymmetric Model Associated with U q (gl(m|n))

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Abstract

We construct the Drinfeld twists (or factorizing F-matrices) of the super-symmetric model associated with quantum superalgebra U q (gl(m|n)), and obtain the completely symmetric representations of the creation operators of the model in the F-basis provided by the F-matrix. As an application of our general results, we present the explicit expressions of the Bethe vectors in the F-basis for the U q (gl(2|1))-model (the quantum t-J model).

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Authors and Affiliations

  1. Institute of Modern Physics, Northwest University, Xian, 710069, P.R. China

    Wen-Li Yang

  2. Department of Mathematics, University of Queensland, Brisbane, QLD 4072, Australia

    Wen-Li Yang, Yao-Zhong Zhang & Shao-You Zhao

  3. Department of Physics, Beijing Institute of Technology, Beijing, 100081, China

    Shao-You Zhao

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  1. Wen-Li Yang
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  2. Yao-Zhong Zhang
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  3. Shao-You Zhao
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Communicated by L.Takhtajan

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Yang, WL., Zhang, YZ. & Zhao, SY. Drinfeld Twists and Algebraic Bethe Ansatz of the Supersymmetric Model Associated with U q (gl(m|n)). Commun. Math. Phys. 264, 87–114 (2006). https://doi.org/10.1007/s00220-005-1513-4

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  • DOI: https://doi.org/10.1007/s00220-005-1513-4

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