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SUMMARY:Emergent fermions modify symmetries in 2+1d - Matthew Yu (Universi
 ty of Oxford)
DTSTART:20251006T090000Z
DTEND:20251006T103000Z
UID:TALK236812@talks.cam.ac.uk
DESCRIPTION:The finite symmetries of a fermionic QFT in 2+1d is given&nbsp
 \;by a fusion 2-category. I will&nbsp\;explain how the symmetry can be mod
 ified when one allows for stacking with TQFTs of the form Spin(n)_1\, and 
 then condensing\, to be an equivalence relation for QFTs. Such an equivale
 nce relation enables a finite set of inequivalent modifications to the ori
 ginal fusion 2-categorical symmetry. This shows that the question of what 
 is the categorical symmetry for a QFT is one that depends on an equivalenc
 e condition. I will relate the order of the symmetry modifications to the 
 image of a map between groups of minimal nondegenerate extensions\, and to
  the tangential structure set by the initial categorical symmetry on the b
 ackground manifold for the QFT.
LOCATION:Seminar Room 2\, Newton Institute
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