Comments on operators with large spin

Understand

We consider high spin operators.

• We give a general argument for the logarithmic scaling of their anomalous dimensions which is based on the symmetries of the problem.
• By an analytic continuation we can also see the origin of the double logarithmic divergence in the Sudakov factor.
• We show that the cusp anomalous dimension is the energy density for a flux configuration of the gauge theory on $AdS_3 \times S^1$.