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SUMMARY:Lukas Müller (Perimeter Institute for Theoretical Physics)
DTSTART:20250305T160000Z
DTEND:20250305T173000Z
DTSTAMP:20260422T174412Z
UID:tandg/25
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/tandg/25/">A
  Higher Spin Statistics Theorem for Invertible Quantum Field Theories</a>\
 nby Lukas Müller (Perimeter Institute for Theoretical Physics) as part of
  Topology and Geometry Seminar (Texas\, Kansas)\n\n\nAbstract\nThe spin-st
 atistics theorem asserts that in a unitary quantum field theory\, the spin
  of a particle—characterized by its transformation under the central ele
 ment of the spin group\, which corresponds to a 360-degree rotation—dete
 rmines whether it obeys bosonic or fermionic statistics. This relationship
  can be formalized mathematically as equivariance for a geometric and alge
 braic action of the 2-group ${\\rm B}{\\bf Z}_2$. In my talk\, I will pres
 ent a refinement of these actions\, extending from ${\\rm B}{\\bf Z}_2$ to
  appropriate actions of the stable orthogonal group ${\\rm O}$\, and demon
 strate that every unitary invertible quantum field theory intertwines thes
 e ${\\rm O}$-actions.\n
LOCATION:https://researchseminars.org/talk/tandg/25/
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