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

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• The Bethe-Ansatz for N=4 Super Yang-Mills
• Hidden Symmetries of the AdS_5 x S^5 Superstring
• A semi-classical limit of the gauge/string correspondence
• Transcendentality and Crossing
• The N=4 SYM Integrable Super Spin Chain
• The Dilatation Operator of Conformal N=4 Super Yang-Mills Theory
• Long-Range PSU(2,2|4) Bethe Ansaetze for Gauge Theory and Strings
• Semiclassical quantization of rotating superstring in AdS_5 x S^5
• Bethe Ansatz for Quantum Strings
• Classical/quantum integrability in AdS/CFT
• The Four-Loop Planar Amplitude and Cusp Anomalous Dimension in Maximally Supersymmetric Yang-Mills Theory
• The Factorized S-Matrix of CFT/AdS
• Structure functions for large $x$ and renormalization of Wilson loops
• The Algebraic Curve of Classical Superstrings on AdS_5xS^5
• Comments on operators with large spin
• Maximally Supersymmetric Planar Yang-Mills Amplitudes at Five Loops
• Baryon Distribution Amplitudes in QCD
• Quantum corrections to the string Bethe ansatz
• Integrability of three-particle evolution equations in QCD
• Precision Spectroscopy of AdS/CFT
• Cusp anomalous dimension in maximally supersymmetric Yang-Mills theory at strong coupling
• Dressing and Wrapping
• Logarithmic scaling in gauge/string correspondence
• A Test of the AdS/CFT Correspondence Using High-Spin Operators
• On the highest transcendentality in N=4 SUSY
• Renormalization of twist-three operators and integrable lattice models
• Two-loop world-sheet corrections in AdS_5 x S^5 superstring
• Logarithmic corrections to higher twist scaling at strong coupling from AdS/CFT
• Fine structure of spectrum of twist-three operators in QCD
• Integrability and Transcendentality
• Four-Loop Cusp Anomalous Dimension From Obstructions
• On the Strong Coupling Scaling Dimension of High Spin Operators
• The Strong Coupling Limit of the Scaling Function from the Quantum String Bethe Ansatz
• Complete 1-loop test of AdS/CFT
• On the Dynamics of Finite-Gap Solutions in Classical String Theory
• Quasiclassical QCD Pomeron
• A Universality Test of the Quantum String Bethe Ansatz
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• The scaling function at strong coupling from the quantum string Bethe equations
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• On the commuting charges for the highest dimension SU(2) operators in planar $\mathcal{N}=4$ SYM
• Nesting and Dressing

Cited by in corpus (72)

• Null polygonal Wilson loops and minimal surfaces in Anti-de-Sitter space
• Four loop twist two, BFKL, wrapping and strings
• Thermodynamic Bethe Ansatz for planar AdS/CFT: a proposal
• Space-time S-matrix and Flux-tube S-matrix III. The two-particle contributions
• Semiclassical Quantization of Spinning Strings in AdS_4 x CP^3
• Extended Y-system for the $Ad{S}_5/CF{T}_4$ correspondence
• Integrability, spin-chains and the AdS3/CFT2 correspondence
• Exciting the GKP string at any coupling
• TBA and Y-system for planar $Ad{S}_4/CF{T}_3$
• Spinning superstrings at two loops: strong-coupling corrections to dimensions of large-twist SYM operators
• Twist-three at five loops, Bethe Ansatz and wrapping
• Comment on the Scaling Function in AdS4 x CP3
• Generalized cusp in AdS_4 x CP^3 and more one-loop results from semiclassical strings
• Functional BES equation
• Embedding nonlinear O(6) sigma model into N=4 super-Yang-Mills theory
• Structure of large spin expansion of anomalous dimensions at strong coupling
• Notes on supersymmetric Wilson loops on a two-sphere
• Large spin corrections in $\mathcal{N}=4$ SYM sl(2): still a linear integral equation
• Quantum integrability and functional equations
• Scaling function in AdS/CFT from the O(6) sigma model
• Review of AdS/CFT Integrability, Chapter III.3: The dressing factor
• Asymptotic Bethe Ansatz on the GKP vacuum as a defect spin chain: scattering, particles and minimal area Wilson loops
• Strong coupling for planar $\mathcal{N}=4$ SYM theory: an all-order result
• Resurgence of the Cusp Anomalous Dimension
• Quantum corrections to energy of short spinning string in AdS5
• Fine structure of anomalous dimensions in N=4 super Yang-Mills theory
• The virtual scaling function of AdS/CFT
• The Resurgence of the Cusp Anomalous Dimension
• Generalized scaling function from light-cone gauge AdS_5 x S^5 superstring
• Four loop reciprocity of twist two operators in N=4 SYM
• Beyond cusp anomalous dimension from integrability
• Nonperturbative scales in AdS/CFT
• Weakly Renormalized Near 1/16 SUSY Fermi Liquid Operators in N = 4 SYM
• Spiky strings in AdS_3 x S^1 and their AdS-pp-wave limits
• Bethe Ansaetze for GKP strings
• Manifestly Dual-Conformal Loop Integration
• Finite Size Spectrum of SU(N) Principal Chiral Field from Discrete Hirota Dynamics
• The generalised scaling function: a note
• From Polygon Wilson Loops to Spin Chains and Back
• On the scattering over the GKP vacuum
• OPE for Super Loops
• Space-like minimal surfaces in AdS x S
• On wrapping corrections to GKP-like operators
• Two-loop AdS_5 x S^5 superstring: testing asymptotic Bethe ansatz and finite size corrections
• The generalised scaling function: a systematic study
• The worldsheet low-energy limit of the AdS_4 x CP^3 superstring
• Weakly coupled N=4 Super Yang-Mills and N=6 Chern-Simons theories from u(2|2) Yangian symmetry
• The su(2|3) Undynamic Spin Chain
• Spiky strings in the SL(2) Bethe Ansatz
• Algebraic Curves for Long Folded and Circular Winding Strings in AdS5xS5
• The 2-loop generalized scaling function from the BES/FRS equation
• Infrared properties of five-point massive amplitudes in N=4 SYM on the Coulomb branch
• Review of AdS/CFT Integrability, Chapter III.4: Twist states and the cusp anomalous dimension
• The integrable O(6) model and the correspondence: checks and predictions
• Spiky Strings and Giant Holes
• On the $Ad{S}_5/CF{T}_4$ TBA and its analytic properties
• On the high spin expansion in the $sl(2)$ $\mathcal{N}=4$ SYM theory
• On the logarithmic powers of $sl(2)$ SYM${}_4$
• Sum rules for higher twist sl(2)operators in N=4 SYM
• Conformally Regulated Direct Integration of the Two-Loop Heptagon Remainder
• Scattering of Giant Holes
• TBA-like equations and Casimir effect in (non-)perturbative AdS/CFT
• From weak coupling to spinning strings
• Giant Holes
• The virtual scaling function of twist operators in the N=6 Chern-Simons theory
• On the short string limit of the folded spinning string in AdS5 x S5
• QCD-like properties for anomalous dimensions in N=4 SYM
• The high spin expansion of twist sector dimensions: the planar N=4 super Yang-Mills theory
• Generalised scaling at subleading order
• Quantum dispersion relations for the $Ad{S}_4\times C{P}^3$ GKP string
• Operator with large spin and spinning D3-brane
• Spiky Strings with Two Spins in AdS5