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In this note we announce some results extending our recent work with A. Toufik on the free-fermion point q = i of the Haldane–Shastry chain to the case with an even number N of sites. The resulting long-range version of the Heisenberg XX chain may be viewed as a model of fermions with extended ɡl(1|1) symmetry. Unlike for odd N, the conserved charges are nilpotent and exhibit Jordan blocks.

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The q-deformed Haldane–Shastry chain at q = i with even length

  • 章节

  • 发表日期：

    2026年

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  • Adel Ben Moussa,
  • Jules Lamers,
  • Didina Serban

摘要

In this note we announce some results extending our recent work with A. Toufik on the free-fermion point q = i of the Haldane–Shastry chain to the case with an even number N of sites. The resulting long-range version of the Heisenberg XX chain may be viewed as a model of fermions with extended ɡl(1|1) symmetry. Unlike for odd N, the conserved charges are nilpotent and exhibit Jordan blocks.