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

[2411.02472] The q-deformed Haldane-Shastry chain at q=i with even length Skip to main content Search Submit Donate Log in Search arXiv Press Enter to search · Advanced search Condensed Matter > Statistical Mechanics arXiv:2411.02472 (cond-mat) [Submitted on 4 Nov 2024] Title: The q-deformed Haldane-Shastry chain at q=i with even length Authors: Adel Ben Moussa , Jules Lamers , Didina Serban View a PDF of the paper titled The q-deformed Haldane-Shastry chain at q=i with even length, by Adel Ben Moussa and 1 other authors View PDF HTML (experimental) Abstract: 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. Comments: 7 pages, no figure Subjects: Statistical Mechanics (cond-mat.stat-mech) ; Strongly Correlated Electrons (cond-mat.str-el); High Energy Physics - Theory (hep-th); Mathematical Physics (math-ph); Exactly Solvable and Integrable Systems (nlin.SI) Report number: DESY-24-209 Cite as: arXiv:2411.02472 [cond-mat.stat-mech] (or arXiv:2411.02472v1 [cond-mat.stat-mech] for this version) https://doi.org/10.48550/arXiv.2411.02472 Focus to learn more arXiv-issued DOI via DataCite Journal reference: In: D R Wood, A M Etheridge, J de Gier, N Joshi (eds), 2024 MATRIX Annals Part II (2026) 5, MATRIX Book Series 8, Springer Related DOI : https://doi.org/10.1007/978-3-032-16206-9_1 Focus to learn more DOI(s) linking to related resources Submission history From: Didina Serban [ view email ] [v1] Mon, 4 Nov 2024 17:00:35 UTC (9 KB) Full-text links: Access Paper: View a PDF of the paper titled The q-deformed Haldane-Shastry chain at q=i with even length, by Adel Ben Moussa and 1 other authors View PDF HTML (experimental) TeX Source view license Current browse context: cond-mat.stat-mech < prev | next > new | recent | 2024-11 Change to browse by: cond-mat cond-mat.str-el hep-th math math-ph math.MP nlin nlin.SI References & Citations INSPIRE HEP NASA ADS Google Scholar Semantic Scholar export BibTeX citation Loading... BibTeX formatted citation × loading... Data provided by: Bookmark Bibliographic Tools Bibliographic and Citation Tools Bibliographic Explorer Toggle Bibliographic Explorer ( What is the Explorer? ) Connected Papers Toggle Connected Papers ( What is Connected Papers? ) Litmaps Toggle Litmaps ( What is Litmaps? ) scite.ai Toggle scite Smart Citations ( What are Smart Citations? ) Code, Data, Media Code, Data and Media Associated with this Article alphaXiv Toggle alphaXiv ( What is alphaXiv? ) Links to Code Toggle CatalyzeX Code Finder for Papers ( What is CatalyzeX? ) DagsHub Toggle DagsHub ( What is DagsHub? ) GotitPub Toggle Gotit.pub ( What is GotitPub? ) Huggingface Toggle Hugging Face ( What is Huggingface? ) ScienceCast Toggle ScienceCast ( What is ScienceCast? ) Demos Demos Replicate Toggle Replicate ( What is Replicate? ) Spaces Toggle Hugging Face Spaces ( What is Spaces? ) Spaces Toggle TXYZ.AI ( What is TXYZ.AI? ) Related Papers Recommenders and Search Tools Link to Influence Flower Influence Flower ( What are Influence Flowers? ) Core recommender toggle CORE Recommender ( What is CORE? ) IArxiv recommender toggle IArxiv Recommender ( What is IArxiv? ) Author Venue Institution Topic About arXivLabs arXivLabs: experimental projects with community collaborators arXivLabs is a framework that allows collaborators to develop and share new arXiv features directly on our website. Both individuals and organizations that work with arXivLabs have embraced and accepted our values of openness, community, excellence, and user data privacy. arXiv is committed to these values and only works with partners that adhere to them. Have an idea for a project that will add value for arXiv's community? Learn more about arXivLabs . Which authors of this paper are endorsers? | Disable MathJax ( What is MathJax? ) We gratefully acknowledge support from our major funders , member institutions , , and all contributors. About · Help · Contact · Subscribe · Copyright · Privacy · Accessibility · Operational Status (opens in new tab) Major funding support from

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