Higher Spin Statistics in Interacting QFTs

Spacetime symmetries play a fundamental role in our understanding of quantum physics. One famous consequence of spacetime symmetry is the spin-statistics theorem which states that local operators that transform in spinor representations of the Lorentz anticommute. Recently, this work has been extended to a higher-spin statistics theorem which explains how non-trivial extensions of the Lorentz group can lead to extended operators with non-trivial higher spin. In this talk, we will explore the generalization of this concept to interacting QFTs and its implications for correlation functions in such theories.