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BIMSA TQFT and Higher Symmetries Seminar
A Higher Spin Statistics Theorem for Invertible Quantum Field Theories
A Higher Spin Statistics Theorem for Invertible Quantum Field Theories
Organizers
Speaker
Lukas Mueller
Time
Tuesday, March 4, 2025 9:45 AM - 11:30 AM
Venue
A3-2-301
Online
Zoom 468 248 1222
(BIMSA)
Abstract
The spin-statistics theorem asserts that in a unitary quantum field theory, the spin of a particle—characterized by its transformation under the central element of the spin group, which corresponds to a 360-degree rotation—determines whether it obeys bosonic or fermionic statistics. This relationship can be formalized mathematically as equivariance for a geometric and algebraic action of the 2-group BZ_2. In my talk, I will present a refinement of these actions, extending from BZ_2 to appropriate actions of the stable orthogonal group O, and demonstrate that every unitary invertible quantum field theory intertwines these O-actions.