Modular interpolating functions for N=4 SYM

Abstract

We construct interpolating functions fully compatible with S-duality. We then consider the problem of resumming perturbative expansions for anomalous dimensions of low twist non-protected operators in N=4 super Yang-Mills theory. When the rank of the gauge group is small, the interpolations suggest that anomalous dimensions of leading twist operators take their maximum value at the point $\tau =\exp (i\pi /3)$. For fixed spin and large enough rank, there is a level-crossing region, where the anomalous dimension of the leading twist operator reaches its maximum and then bounces back.

13 pages, 5 figures; v2: comments added

References in corpus (4)

• Comments on operators with large spin
• The $(2,0)$ superconformal bootstrap
• Three-loop universal structure constants in N=4 susy Yang-Mills theory
• The non-planar contribution to the four-loop anomalous dimension of twist-2 operators: first moments in N=4 SYM and non-singlet QCD

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