The virtual scaling function of AdS/CFT

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.

4 pages, references added, typos corrected and equation (26) rewritten

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Cited by in corpus (26)

• Exciting the GKP string at any coupling
• Quantum folded string and integrability: from finite size effects to Konishi dimension
• The Four Loop QCD Rapidity Anomalous Dimension
• Twist-three at five loops, Bethe Ansatz and wrapping
• Subleading Power Resummation of Rapidity Logarithms: The Energy-Energy Correlator in $\mathcal{N}=4$ SYM
• Generalized cusp in AdS_4 x CP^3 and more one-loop results from semiclassical strings
• Asymptotic Bethe Ansatz on the GKP vacuum as a defect spin chain: scattering, particles and minimal area Wilson loops
• Beyond cusp anomalous dimension from integrability
• Bethe Ansaetze for GKP strings
• Analytic solution of the multiloop Baxter equation
• Luescher formula for GKP string
• Bootstrapping $\mathcal{N}=4$ sYM correlators using integrability
• On wrapping corrections to GKP-like operators
• Two-loop AdS_5 x S^5 superstring: testing asymptotic Bethe ansatz and finite size corrections
• Spiky strings in the SL(2) Bethe Ansatz
• Review of AdS/CFT Integrability, Chapter III.4: Twist states and the cusp anomalous dimension
• On the high spin expansion in the $sl(2)$ $\mathcal{N}=4$ SYM theory
• On the logarithmic powers of $sl(2)$ SYM${}_4$
• From weak coupling to spinning strings
• Generalized Gribov-Lipatov Reciprocity and AdS/CFT
• Semiclassical Strings in AdS_5 x S^5 and Automorphic Functions
• Reciprocity and integrability in the sl(2) sector of N=4 SYM
• The virtual scaling function of twist operators in the N=6 Chern-Simons theory
• The high spin expansion of twist sector dimensions: the planar N=4 super Yang-Mills theory
• On the dressing phase in the SL(2) Bethe Ansatz
• Beyond cusp anomalous dimension from integrability in SYM${}_4$