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X-FROM-URL:https://eom.sdu.dk/events/ical/435a1bfb-6147-433a-9d5f-d22b5441
 580e
X-WR-CALNAME:QM Research Seminar: Computing the category of superselection
  sectors of 2d lattice spin systems
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TZID:Europe/Copenhagen
X-LIC-LOCATION:Europe/Copenhagen
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DTSTAMP:20260513T130543Z
DTSTART:20261028T030000
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DESCRIPTION:[b]Speaker: Boris Kjær [/b](​University of Copenhagen).\n\n[b]
 Abstract:[/b]\nIn recent years\, the analysis of topologically ordered gr
 ound states of 2d quantum lattice systems in the thermodynamic limit has 
 been developed to provide a rigorous invariant of gapped phases. The meth
 odology is based on the approach of Doplicher\, Haag\, and Roberts in the
  context of algebraic quantum field theory\, and derives a braided C*-ten
 sor category which represents the anyonic excitations above the ground st
 ate and the fusion and braiding among them. \n\nWe present the computatio
 n of this category for the class of Levin-Wen models\, which yields the D
 rinfeld center Z(C) of an arbitrary unitary fusion category C up to braid
 ed monoidal equivalence. Previous methods\, applied to quantum double mod
 els based on finite groups\, relied on defining string operators on the q
 uasi-local observable algebra implementing an action of Z(Vec_G). But the
 re are obstructions in K-theory that limit this approach to group-like mo
 dels with integer quantum dimensions. Our approach requires detailed unde
 rstanding of the local ground state spaces of the model in terms of topol
 ogical quantum field theory based on skein modules. Based on work joint w
 ith Alex Bols.
DTEND:20260323T150000Z
DTSTAMP:20260513T130543Z
DTSTART:20260323T140000Z
LOCATION:Syddansk Universitet\, Campusvej 55\, 5230\, Odense M
SEQUENCE:0
SUMMARY:QM Research Seminar: Computing the category of superselection sect
 ors of 2d lattice spin systems
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