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

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arxiv 2411.02472 v1 pith:MFP4JF4I submitted 2024-11-04 cond-mat.stat-mech cond-mat.str-elhep-thmath-phmath.MPnlin.SI

Adel Ben Moussa , Jules Lamers , Didina Serban This is my paper · ORCID
classification cond-mat.stat-mechcond-mat.str-elhep-thmath-phmath.MPnlin.SI
keywords chainevenhaldane-shastryannounceblockscasechargesconserved
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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 gl(1|1) symmetry. Unlike for odd N, the conserved charges are nilpotent and exhibit Jordan blocks.

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  1. An integrable deformed Landau-Lifshitz model with particle production?

    hep-th 2025-06 conditional novelty 6.0 of 10

    The Class 5 spin chain's continuum limit is a non-unitary deformed Landau-Lifshitz model with a conserved-charge tower and a soft 1-to-2 S-matrix.

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