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SUMMARY:David Pérez García (UCM\, Madrid)
DTSTART:20260303T140000Z
DTEND:20260303T150000Z
DTSTAMP:20260404T043331Z
UID:IAMP_seminars/187
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/IAMP_seminar
 s/187/">Haag Duality for 2D Quantum Spin Systems</a>\nby David Pérez Garc
 ía (UCM\, Madrid) as part of One world IAMP mathematical physics seminar\
 n\n\nAbstract\nHaag duality is a fundamental locality property introduced 
 in the pioneering formulation of algebraic quantum field theory by Haag an
 d Kastler in the 1960s. Since then\, it has played a central role\, most n
 otably in the classification of superselection sectors by Doplicher\, Haag
 \, and Roberts in the 1970s. Over the past two decades\, this concept has 
 migrated from its relativistic origins to quantum spin systems\, becoming 
 a cornerstone of the operator-algebraic approach to the long-standing prob
 lem of classifying two-dimensional topological quantum phases of matter. H
 owever\, rigorous proofs of Haag duality in two dimensions were previously
  restricted to systems exhibiting abelian anyons. In this talk\, we will e
 stablish Haag duality for a broad class of tensor network models\, expecte
 d to include representatives of all non-chiral topological quantum phases 
 of matter.\n
LOCATION:https://researchseminars.org/talk/IAMP_seminars/187/
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