BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Jules Lamers (IPhT) DTSTART:20230320T100000Z DTEND:20230320T110000Z DTSTAMP:20260423T024450Z UID:IPHT-PHM/19 DESCRIPTION:Title: The partially (an)isotropic Inozemtsev spin chain\nby Jules Lamers ( IPhT) as part of Séminaire de physique mathématique IPhT\n\nLecture held in Salle Claude Itzykson\, Bât. 774\, Orme des Merisiers.\n\nAbstract\nT raditionally\, (quantum) integrable spin chains are studied under the assu mption of short-range interactions between the spins\, leading to the near est-neighbour Heisenberg chains. The most famous integrable model with lon g-range spin interactions is the Haldane--Shastry chain\, whose integrable structure was uncovered at IPhT about thirty years ago. The Inozemtsev sp in chain\, which famously made a guest appearance in AdS/CFT integrability \, interpolates between the Heisenberg XXX and Haldane--Shastry chains whi le being exactly solvable throughout. Although widely believe to be integr able\, the algebraic structure underlying the Inozemtsev chain is not yet known.\n\nOne way to learn about something is to try and deform it. For sp in chains\, it is natural to try and break the SU(2) spin symmetry ('isotr opy') down to spin-z symmetry ('partial (an)isotropy') in a way that prese rves the key features. In my talk I will present a new long-range spin cha in: the partially (an)isotropic Inozemtsev chain. It is integrable in that it has a hierarchy of commuting hamiltonians. In the long-range limit it becomes the (known) partially (an)isotropic generalisation of Haldane--Sha stry\, while in the short-range limit it gives a variant of Heisenberg XXZ with nontrivial boundary conditions. Underlying the model is a new quantu m many-body system with spins that generalises the elliptic Ruijsenaars mo del.\n\nBased on work in progress with Rob Klabbers (Humboldt U Berlin)\n LOCATION:https://researchseminars.org/talk/IPHT-PHM/19/ END:VEVENT END:VCALENDAR