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SUMMARY:Dmytro Volin (Nordita)
DTSTART:20200507T090000Z
DTEND:20200507T110000Z
DTSTAMP:20260423T035906Z
UID:LIJC/1
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/LIJC/1/">Com
 pleteness of Bethe equations</a>\nby Dmytro Volin (Nordita) as part of Lon
 don Integrability Journal Club\n\n\nAbstract\nWe review a proof of bijecti
 on between eigenstates of the Bethe algebra and solutions of Bethe equatio
 ns written as a Wronskian quantisation condition or as QQ-relations on You
 ng diagrams. Furthermore\, it is demonstrated that the Bethe algebra is ma
 ximal commutative and it has simple spectrum every time it is diagonalisab
 le.  The proof covers rational gl(m|n) spin chains in the defining represe
 ntation with the famous Heisenberg spin chain being a particular subcase. 
  The proof is rigorous (no general position arguments are used). We do not
  rely on the string hypothesis and moreover we conjecture a precise meanin
 g of Bethe strings as a consequence of the proposed proof.\nA short introd
 uction with necessary facts about polynomial rings will be given at the be
 ginning of the talk. \nBased on 2004.02865\n
LOCATION:https://researchseminars.org/talk/LIJC/1/
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