Scaling dimensions and integrability for spinning cusp insertions

Compute the scaling dimensions of spinning operator insertions at the Maldacena–Wilson cusp relevant for Coulomb‑branch scattering in planar N=4 SYM and investigate whether integrability methods can be developed to solve for their spectra.

Background

The present work leverages integrability results for parity‑even SO(2)×SO(5) singlets to determine the leading and subleading Regge trajectories but indicates that spinning insertions lie beyond the current state of the art.

A comprehensive understanding of spinning cusp operators would generalize the Regge/cusp correspondence, enrich the spectral data accessible at finite coupling, and potentially broaden integrability techniques.