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 low-spin non-protected operators in \( \mathcal{N} \) = 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 τ = exp(iπ/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.
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ArXiv ePrint: 1311.3215
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Alday, L.F., Bissi, A. Modular interpolating functions for \( \mathcal{N} \) = 4 SYM. J. High Energ. Phys. 2014, 7 (2014). https://doi.org/10.1007/JHEP07(2014)007
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DOI: https://doi.org/10.1007/JHEP07(2014)007