-

A Higher Spin Statistics Theorem for Invertible Quantum Field Theories

组织者

白岸斯 , 陈群皓 , 孔良 , 王亦龙 , 张智浩 , 郑浩

演讲者

Lukas Mueller

时间

2025年03月04日 09:45 至 11:30

地点

A3-2-301

线上

Zoom 468 248 1222 (BIMSA)

摘要

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.