The full strong coupling expansion of the cusp anomalous dimension and the O(6) mass gap

Abstract

We present the full transseries of the strong-coupling expansion of the cusp anomalous dimension in N=4 super Yang-Mills theory. This quantity admits an exact representation as a ratio of two determinants with particularly simple strong-coupling expansions. Nonperturbative contributions are classified by partitions into distinct odd integers and obey a universal structure, with Stokes constants that can be computed iteratively. We also determine the full transseries of the O(6) mass gap as a function of the 't Hooft coupling. In the AdS/CFT string description, this mass gap fixes the dynamically generated scale of the O(6) sigma model governing the sphere fluctuations, and we establish its full nonperturbative relation to the cusp anomalous dimension.

6 pages, ancillary Mathematica file with 20 perturbative coefficients for D0 and D1, v2: extended with the full transseries of the O(6) massgap