A Generalized Scaling Function for AdS/CFT

Abstract

We study a refined large spin limit for twist operators in the sl(2) sector of AdS/CFT. We derive a novel non-perturbative equation for the generalized two-parameter scaling function associated to this limit, and analyze it at weak coupling. It is expected to smoothly interpolate between weakly coupled gauge theory and string theory at strong coupling.

27 pages, no figures; v2: references added and typos fixed

References in corpus (8)

• Comments on operators with large spin
• Maximally Supersymmetric Planar Yang-Mills Amplitudes at Five Loops
• Dressing and Wrapping
• The Strong Coupling Limit of the Scaling Function from the Quantum String Bethe Ansatz
• Strong coupling limit of Bethe Ansatz equations
• Spinning superstrings at two loops: strong-coupling corrections to dimensions of large-twist SYM operators
• On the commuting charges for the highest dimension SU(2) operators in planar $\mathcal{N}=4$ SYM
• Nesting and Dressing

Cited by in corpus (5)

• Spinning superstrings at two loops: strong-coupling corrections to dimensions of large-twist SYM operators
• Embedding nonlinear O(6) sigma model into N=4 super-Yang-Mills theory
• The integrable O(6) model and the correspondence: checks and predictions
• Sum rules for higher twist sl(2)operators in N=4 SYM
• On the short string limit of the folded spinning string in AdS5 x S5