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SUMMARY:Haag Duality for 2D Quantum Spin Systems - Glass Room (Moore libra
 ry) - Yoshiko Ogata (Kyoto University)
DTSTART:20250924T090000Z
DTEND:20250924T100000Z
UID:TALK236611@talks.cam.ac.uk
DESCRIPTION:Doplicher&ndash\;Haag&ndash\;Roberts (DHR) theory in algebraic
  quantum field theory allows us to derive a braided C^-tensor category und
 er the assumption of Haag duality. Recently\, DHR theory has been applied 
 to the study of topological phases of matter in two-dimensional quantum sp
 in systems. The strength of DHR theory in this context is that it provides
  a framework to describe anyons as invariants of topological order. Howeve
 r\, Haag duality is a necessary input\, and it is not known whether it hol
 ds in general. In this talk\, I will report on our recent results with Dav
 id P&eacute\;rez-Garc&iacute\;a and Alberto Ruiz-de-Alarc&oacute\;n concer
 ning Haag duality in two-dimensional tensor network states based on biconn
 ected C^-weak Hopf algebras.\n&nbsp\;
LOCATION:External
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