Speaker
Description
In this talk, I will discuss the structure of spinning operators in
CFTs. Specifically, there is a tension between the idea that all
spinning operators belong to Regge trajectories with data analytic in
spin, and the fact that the number of local operators below a given
twist grows with spin. This means that Regge trajectories, suitably
defined through light-ray operators, must decouple from all local
correlation functions at the spins where local operators are missing,
requiring infinitely many conditions for a single trajectory. I will
explain how to resolve this tension by demonstrating that the
vanishing conditions in all correlators follow from a single condition
related to the normalisation of the light-ray operator. This will be
illustrated by considering the Wilson-Fisher fixed point, where we can
explicitly construct the light-ray operators of twist-4 trajectories
at complex spin, and directly observe the vanishing conditions at low
integer spin.
