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The classical su(2) invariance of the su(2) q -invariant XXZ spin chain

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Abstract

The XXZ spin-chain Hamiltonian has been constructed to be su(2) q -invariant, but naively does not appear to be su(2)-invariant. However, using recently discovered deforming maps between representations of su(2) q and corresponding representations of su(2), we prove a theorem which states that if a Hamiltonian is su(2) q -invariant, it is also su(2)-invariant. The theorem generalizes to any quantized Lie algebra.

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Authors and Affiliations

  1. Center for Theoretical Physics, Department of Physics, Yale University, 06520, New Haven, CT, USA

    D. G. Caldi, Alan Chodos & A. Barth

  2. Department of Physics and Astronomy, State University of New York at Buffalo, 14260, Buffalo, NY, USA

    D. G. Caldi & Z. Zhu

  3. Department of Physics, University of Chicago, 60637, Chicago, IL, USA

    A. Barth

Authors
  1. D. G. Caldi
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  2. Alan Chodos
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  3. Z. Zhu
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  4. A. Barth
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Caldi, D.G., Chodos, A., Zhu, Z. et al. The classical su(2) invariance of the su(2) q -invariant XXZ spin chain. Lett Math Phys 22, 163–165 (1991). https://doi.org/10.1007/BF00403541

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  • DOI: https://doi.org/10.1007/BF00403541

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