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The spin-statistics theorem for TFTs

October 25, 2024 @ 9:00 am - 10:30 am

Quantum Field Theory and Physical Mathematics Seminar

Speaker: Luuk Stehouwer, Dalhousie University

Title: The spin-statistics theorem for TFTs

Abstract: In quantum field theory (QFT) the spin-statistics theorem says that in a unitary QFT, a particle has half-integer spin if and only if it is a fermion. I show how to phrase this statement in the language of functorial field theories. More precisely, I explain when a functorial field theory “has fermions” and “has spinors” and when they are “related”. I will then restrict to topological field theories (TFTs) and define unitary TFTs. There are counterexamples of the spin-statistics theorem for non-unitary TFTs. I will prove that every unitary TFT satisfies the spin-statistics theorem.

 

 

 

Details

Date:
October 25, 2024
Time:
9:00 am - 10:30 am
Event Category:

Organizer

Ahsan Khan
Robert Moscrop
Sunghyuk Park

Venue

CMSA Room G10
CMSA, 20 Garden Street
Cambridge, MA 02138 United States
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Phone:
6174967132