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SUMMARY:Shu-Heng Shao (IAS)
DTSTART:20210503T183000Z
DTEND:20210503T193000Z
DTSTAMP:20260423T040040Z
UID:Kadanoff/38
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/Kadanoff/38/
 ">Obstructions to Gapped Boundaries from Three-Manifold Invariants</a>\nby
  Shu-Heng Shao (IAS) as part of Kadanoff seminars\n\n\nAbstract\nWe derive
  new obstructions to a 2+1d bosonic TQFT (such as the Chern-Simons theory)
  admitting a gapped boundary. Each such obstruction is labeled by a closed
  three-manifold\, and it arises as the phase of the Reshetikhin–Turaev i
 nvariant. Using these new obstructions and earlier results on this subject
 \, we prove the following. \n(1) An abelian bosonic TQFT admits a gapped b
 oundary iff a finite list of certain "higher central charges" vanish. \n(2
 ) No power of the Fibonacci anyon (a.k.a. the (G2)_1 Chern-Simons theory) 
 admits a gapped boundary. \nThis talk will be based on work in progress wi
 th J. Kaidi\, Z. Komargodski\, K. Ohmori\, S. Seifnashri.\n
LOCATION:https://researchseminars.org/talk/Kadanoff/38/
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