Analytic Solution of Bremsstrahlung TBA II: Turning on the Sphere Angle

Understand

We find an exact analytical solution of the Y-system describing a cusped Wilson line in the planar limit of N=4 SYM.

• Our explicit solution describes anomalous dimensions of this family of observables for any value of the `t Hooft coupling and arbitrary R-charge L of the local operator inserted on the cusp in a near-BPS limit.
• Our finding generalizes the previous results of one of the authors & Sever and passes several nontrivial tests.
• First, for a particular case L=0 we reproduce the predictions of localization techniques.