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SUMMARY:A tensor network perspective on categorical symmetries and their g
 auging - Bram Vancraeynest-De Cuiper (Universiteit Gent)
DTSTART:20251008T090000Z
DTEND:20251008T103000Z
UID:TALK238063@talks.cam.ac.uk
DESCRIPTION:In recent years tensor networks have been demonstrated to prov
 ide the lattice representation theory of generalised symmetries described 
 by fusion categories. This entanglement based approach has among other thi
 ngs opened up the possibility of efficiently simulating lattice models wit
 h such symmetries\, and exploration of their phase diagram. In this talk\,
  I will first review these advances with a particular emphasize on the con
 struction of generic symmetric Hamiltonians and the inclusion of symmetry-
 twisted boundary conditions. I will then proceed by sketching the gauging 
 of these symmetries via a choice of algebra in the symmetry category on wh
 ich the anomaly vanishes.\nBased in part on [2509.22051\, 2408.06334\, 211
 2.09091].
LOCATION:Seminar Room 2\, Newton Institute
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