A note on twist two operators in N=4 SYM and Wilson loops in Minkowski signature

Abstract

Recently the anomalous dimension of twist two operators in N=4 SYM theory was computed by Gubser, Klebanov and Polyakov in the limit of large 't Hooft coupling using semi-classical rotating strings in AdS_5. Here we reproduce their results for large angular momentum by using the cusp anomaly of Wilson loops in Minkowski signature also computed within the AdS/CFT correspondence. In this case the anomalous dimension is related to an Euclidean worldsheet whose properties are completely determined by the symmetries of the problem. This gives support to the proposed identification of rotating strings and twist two operators.

16 pages, 4 figures, LaTeX. v2: References added. Some corrections

References in corpus (1)

• Anomalous dimensions in gauge theories from rotating strings in $Ad{S}_5\times S^5$

Cited by in corpus (138)

• Gluon scattering amplitudes at strong coupling
• Iteration of Planar Amplitudes in Maximally Supersymmetric Yang-Mills Theory at Three Loops and Beyond
• Conformal properties of four-gluon planar amplitudes and Wilson loops
• Three-loop universal anomalous dimension of the Wilson operators in N=4 SUSY Yang-Mills model
• The Four-Loop Planar Amplitude and Cusp Anomalous Dimension in Maximally Supersymmetric Yang-Mills Theory
• Conformal Ward identities for Wilson loops and a test of the duality with gluon amplitudes
• On planar gluon amplitudes/Wilson loops duality
• Comments on gluon scattering amplitudes via AdS/CFT
• Hexagon Wilson loop = six-gluon MHV amplitude
• The Two-Loop Six-Gluon MHV Amplitude in Maximally Supersymmetric Yang-Mills Theory
• Notes on Superconformal Chern-Simons-Matter Theories
• Spinning strings in AdS_5 x S^5 and integrable systems
• Comments on Holographic Complexity
• Space-time S-matrix and Flux-tube S-matrix at Finite Coupling
• Comments on operators with large spin
• Maximally Supersymmetric Planar Yang-Mills Amplitudes at Five Loops
• Large spin limit of AdS_5 x S^5 string theory and low energy expansion of ferromagnetic spin chains
• A supermatrix model for N=6 super Chern-Simons-matter theory
• Gauge/string duality for QCD conformal operators
• An Operator Product Expansion for Polygonal null Wilson Loops
• Cusp anomalous dimension in maximally supersymmetric Yang-Mills theory at strong coupling
• Scattering Amplitudes, Wilson Loops and the String/Gauge Theory Correspondence
• The hexagon Wilson loop and the BDS ansatz for the six-gluon amplitude
• Space-time S-matrix and Flux tube S-matrix II. Extracting and Matching Data
• Supersymmetric Wilson loops on S^3
• Logarithmic scaling in gauge/string correspondence
• A Test of the AdS/CFT Correspondence Using High-Spin Operators
• Spiky strings and single trace operators in gauge theories
• Logarithmic corrections to higher twist scaling at strong coupling from AdS/CFT
• Spinning strings at one-loop in AdS_4 x P^3
• MSSM Higgs Boson Searches at the Tevatron and the LHC: Impact of Different Benchmark Scenarios
• Strong-coupling expansion of cusp anomaly and gluon amplitudes from quantum open strings in AdS_5 x S^5
• Four-Loop Cusp Anomalous Dimension From Obstructions
• Generating AdS String Solutions
• On the Strong Coupling Scaling Dimension of High Spin Operators
• Exciting the GKP string at any coupling
• Scattering in Mass-Deformed N>=4 Chern-Simons Models
• Strong-coupling expansion of cusp anomaly from quantum superstring
• On semiclassical approximation for correlators of closed string vertex operators in AdS/CFT
• The Exact Bremsstrahlung Function in N=2 Superconformal Field Theories
• Superconformal operators in N=4 super-Yang-Mills theory
• The four-loop cusp anomalous dimension in N=4 super Yang-Mills and analytic integration techniques for Wilson line integrals
• Light-Cone Wilson Loops and the String/Gauge Correspondence
• Two and three-point correlators of operators dual to folded string solutions at strong coupling
• Structure of large spin expansion of anomalous dimensions at strong coupling
• The Sudakov form factor at four loops in maximal super Yang-Mills theory
• Wavy Wilson Line and AdS/CFT
• Regge behavior of gluon scattering amplitudes in N=4 SYM theory
• Spiky strings, light-like Wilson loops and pp-wave anomaly
• Rotating membranes on G_2 manifolds, logarithmic anomalous dimensions and N=1 duality
• Quantum AdS_5 x S^5 superstring in the AdS light-cone gauge
• Long-range SL(2) Baxter equation in N=4 super-Yang-Mills theory
• Notes on Euclidean Wilson loops and Riemann Theta functions
• Infrared Limit of Gluon Amplitudes at Strong Coupling
• The Six-Point NMHV amplitude in Maximally Supersymmetric Yang-Mills Theory
• Cusped SYM Wilson loop at two loops and beyond
• Thermodynamic Bethe Ansatz Equations for Minimal Surfaces in AdS_3
• Spinning strings and minimal surfaces in $Ad{S}_3$ with mixed 3-form fluxes
• Four-Loop Collinear Anomalous Dimension in N = 4 Yang-Mills Theory
• Duality between Wilson loops and gluon amplitudes
• Two-loop cusp anomaly in ABJM at strong coupling
• Surprises in the AdS algebraic curve constructions - Wilson loops and correlation functions
• Nonperturbative Negative Geometries: Amplitudes at Strong Coupling and the Amplituhedron
• Planar quark scattering at strong coupling and universality
• Correlation function of null polygonal Wilson loops with local operators
• Generalized scaling function from light-cone gauge AdS_5 x S^5 superstring
• Semiclassical circular strings in AdS_5 and "long" gauge field strength operators
• Scattering amplitudes in strongly coupled N=4 SYM from semiclassical strings in AdS
• Scattering of single spikes
• Wilson loops and minimal area surfaces in hyperbolic space
• On collinear factorization of Wilson loops and MHV amplitudes in N=4 SYM
• Spinning and rotating strings for N=1 SYM theory and brane constructions
• Conformal SO(2,4) Transformations of the One-Cusp Wilson Loop Surface
• Trilepton + top signal from chargino-neutralino decays of MSSM charged Higgs bosons at the LHC
• Gauge theory webs and surfaces
• Semi-classical string solutions for N=1 SYM
• Quark scattering amplitudes at strong coupling
• Baxter equation for long-range SL(2|1) magnet
• Superspace calculation of the three-loop dilatation operator of N=4 SYM theory
• Wilson loops and Riemann theta functions II
• Comments on gluon 6-point scattering amplitudes in N=4 SYM at strong coupling
• What can we learn about QCD and collider physics from N=4 super Yang-Mills?
• Strong coupling expansion of Baxter equation in N=4 SYM
• Dressing the Giant Gluon
• On n-point Amplitudes in N=4 SYM
• Semiclassical quantization of Rotating Strings in Pilch-Warner geometry
• A note on string solutions in AdS_3
• Boundary Ring: a way to construct approximate NG solutions with polygon boundary conditions: I. Z_n-symmetric configurations
• Algebraic Curves for Factorized String Solutions
• Branes from Light: Embeddings and Energetics for Symmetric $k$-Quarks in $\mathcal{N}=4$ SYM
• Spiky strings in the SL(2) Bethe Ansatz
• Phase transitions in Wilson loop correlator from integrability in global AdS
• Lectures on Scattering Amplitudes via AdS/CFT
• Quantum dispersion relations for excitations of long folded spinning superstring in AdS_5 x S^5
• New open string solutions in AdS_5
• Review of AdS/CFT Integrability, Chapter II.2: Quantum Strings in AdS5xS5
• Semiclassical rigid strings with two spins in AdS_5
• Algebraic Curves for Long Folded and Circular Winding Strings in AdS5xS5
• Review of AdS/CFT Integrability, Chapter III.4: Twist states and the cusp anomalous dimension
• Double-helix Wilson loops: case of two angular momenta
• Towards NMHV amplitudes at strong coupling
• Constraining integrable AdS/CFT with factorized scattering
• A Numerical Study of Gluon Scattering Amplitudes in N=4 Super Yang-Mills Theory at Strong Coupling
• On Elliptic String Solutions in AdS(3) and dS(3)
• One-loop corrections to AdS_5 x S^5 superstring partition function via Pohlmeyer reduction
• General Leznov-Savelev solutions for Pohlmeyer reduced AdS${}_5$ minimal surfaces
• Wilson loops T-dual to Short Strings
• Scattering amplitudes at strong coupling for 4K gluons
• Pohlmeyer reduction and Darboux transformations in Euclidean worldsheet AdS_3
• Classical Worldsheets for String Scattering on Flat and AdS Spacetime
• Holographic Cusped Wilson loops in $q$-deformed $Ad{S}_5\times S^5$ Spacetime
• Minimal area surfaces dual to Wilson loops and the Mathieu equation
• Discretized Minimal Surface and the BDS Conjecture in N=4 Super Yang-Mills Theory at Strong Coupling
• Review of AdS/CFT Integrability, Chapter V.3: Scattering Amplitudes at Strong Coupling
• Analytic Non-Integrability and S-Matrix Factorization
• Wilson loops and anomalous dimensions in cascading theories
• Generating string solutions in BTZ
• Ironing out the crease
• Conformal SO(2,4) Transformations for the Helical AdS String Solution
• MHV amplitudes at strong coupling and linearized TBA equations
• Nonforward anomalous dimensions of Wilson operators in N=4 super-Yang-Mills theory
• Lattice perturbation theory for the null cusp string
• The First Thirty Years of Large-N Gauge Theory
• Minimal area surfaces in AdS${}_3$ through integrability
• Studies of Spin Effects in Charged Higgs Boson Production with an Iterative Discriminant Analysis at the Tevatron and LHC
• Cusp Anomalous dimension and rotating open strings in AdS/CFT
• Anomalous dimensions from rotating open strings in AdS/CFT
• On the dressing phase in the SL(2) Bethe Ansatz
• More on Wilson loops for two touching circles
• Euclidean Wilson loops and Minimal Area Surfaces in Minkowski AdS3
• Comments on Correlation Functions of Large Spin Operators and Null Polygonal Wilson Loops
• Vacuum type space-like string surfaces in AdS_3 x S^3
• Spinning strings: $\lambda$-deformation and non-Abelian T-dual limit
• Conformal Transformations and Strings for an Accelerating Quark-Antiquark Pair in AdS3
• Spiky Strings with Two Spins in AdS5
• Coulomb Phase Gluon Scattering at Strong Coupling
• On interpolating anomalous dimension of twist-two operators with general spins
• Note About String with Euclidean World-Sheet in AdS(5)xS(5)