The virtual scaling function of AdS/CFT

TL;DR

This paper derives an integral equation capturing finite corrections to the large spin behavior of N=4 SYM twist operators, showing these are universal and match string theory predictions at strong coupling.

Contribution

It introduces an all-loop integral equation for finite corrections that are unaffected by wrapping effects, aligning with string theory results.

Findings

Finite corrections are universal and valid at all loops.

Strong coupling expansion matches string theory predictions.

Corrections are not affected by wrapping effects.

Abstract

We write an integral equation that incorporates finite corrections to the large spin asymptotics of N=4 SYM twist operators from the non-linear integral equation. We show that these corrections are an all-loop result, not affected by wrapping effects, and agree, after determining the strong coupling expansion, with string theory predictions.