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@ARTICLE{Klabbers:605573,
      author       = {Klabbers, Rob and Lamers, Jules},
      title        = {{L}andscapes of integrable long-range spin chains},
      reportid     = {PUBDB-2024-01515, DESY-24-062. arXiv:2405.09718},
      year         = {2024},
      note         = {37 pages, 3 figures, 1 table},
      abstract     = {We clarify how the elliptic integrable spin chain recently
                      found by Matushko and Zotov (MZ) relates to various other
                      known long-range spin chains. We evaluate various limits.
                      More precisely, we tweak the MZ chain to allow for a
                      short-range limit, and show it is the XX model with
                      q-deformed antiperiodic boundary conditions. Taking $q\to 1$
                      gives the elliptic spin chain of Sechin and Zotov (SZ),
                      whose trigonometric case is due to Fukui and Kawakami. It,
                      too, can be adjusted to admit a short-range limit, which we
                      demonstrate to be the antiperiodic XX model. By identifying
                      the translation operator of the MZ chain, which is
                      nontrivial, we show that antiperiodicity is a persistent
                      feature. We compare the resulting (vertex-type) landscape of
                      the MZ chain with the (face-type) landscape containing the
                      Heisenberg XXX and Haldane--Shastry chains. We find that the
                      landscapes only share a single point: the rational
                      Haldane-Shastry chain. Using wrapping we show that the SZ
                      chain is the antiperiodic version of the Inozemtsev chain in
                      a precise sense, and expand both chains around their
                      nearest-neighbour limits to facilitate their interpretations
                      as long-range deformations.},
      cin          = {T},
      cid          = {I:(DE-H253)T-20120731},
      pnm          = {611 - Fundamental Particles and Forces (POF4-611) /
                      BrokenSymmetries - Exact Results from Broken Symmetries
                      (101044226)},
      pid          = {G:(DE-HGF)POF4-611 / G:(EU-Grant)101044226},
      experiment   = {EXP:(DE-MLZ)NOSPEC-20140101},
      typ          = {PUB:(DE-HGF)25},
      eprint       = {2405.09718},
      howpublished = {arXiv:2405.09718},
      archivePrefix = {arXiv},
      SLACcitation = {$\%\%CITATION$ = $arXiv:2405.09718;\%\%$},
      doi          = {10.3204/PUBDB-2024-01515},
      url          = {https://bib-pubdb1.desy.de/record/605573},
}