Correlation functions of three heavy operators - the AdS contribution

Abstract

We consider operators in N=4 SYM theory which are dual, at strong coupling, to classical strings rotating in S^5. Three point correlation functions of such operators factorize into a universal contribution coming from the AdS part of the string sigma model and a state-dependent S^5 contribution. Consequently a similar factorization arises for the OPE coefficients. In this paper we evaluate the AdS universal factor of the OPE coefficients which is explicitly expressed just in terms of the anomalous dimensions of the three operators.

49 pages, 3 figures; v.2 references corrected; v3: corrected discussion in section 5, results unchanged

References in corpus (17)

• The AdS_5xS^5 superstring worldsheet S-matrix and crossing symmetry
• Thermodynamic Bethe Ansatz for the AdS_5 x S^5 Mirror Model
• Form factors at strong coupling via a Y-system
• String hypothesis for the AdS_5 x S^5 mirror
• On three-point correlation functions in the gauge/gravity duality
• Holographic three-point functions of giant gravitons
• On semiclassical computation of 3-point functions of closed string vertex operators in AdS_5 x S^5
• On semiclassical approximation for correlators of closed string vertex operators in AdS/CFT
• Holographic Correlation Functions for Open Strings and Branes
• Semiclassical four-point functions in AdS_5 x S^5
• Large spin expansion of semiclassical 3-point correlators in AdS_5 x S^5
• Correlators of Vertex Operators for Circular Strings with Winding Numbers in AdS5xS5
• Holography of Two-point Functions in the Spinning String/Spin Chain Correspondence
• Three-point correlators for giant magnons
• Three-point Correlation functions of Giant magnons with finite size
• Correlation functions of magnon and spike
• Three- and four-point correlators of operators dual to folded string solutions in AdS_5 x S^5

Cited by in corpus (58)

• Structure Constants and Integrable Bootstrap in Planar N=4 SYM Theory
• Tailoring Three-Point Functions and Integrability III. Classical Tunneling
• Correlators of Wilson loops and local operators from multi-matrix models and strings in AdS
• Structure constants at wrapping order
• HHL correlators, orbit averaging and form factors
• Three-point functions in $\mathcal{N}=4$ SYM: the hexagon proposal at three loops
• String field theory vertex from integrability
• Y-system for form factors at strong coupling in AdS5 and with multi-operator insertions in AdS3
• Large $p$ explorations. From SUGRA to big STRINGS in Mellin space
• Structure Constants in $\mathcal{N}=4$ SYM at Finite Coupling as Worldsheet $g$-Function
• Tailoring Non-Compact Spin Chains
• Clustering and the Three-Point Function
• The hexagon in the mirror: the three-point function in the SoV representation
• On holographic three point functions for GKP strings from integrability
• Wave functions and correlation functions for GKP strings from integrability
• Fixing the Quantum Three-Point Function
• Surprises in the AdS algebraic curve constructions - Wilson loops and correlation functions
• A tree-level 3-point function in the su(3)-sector of planar N=4 SYM
• Three-point functions in planar N=4 super Yang-Mills Theory for scalar operators up to length five at the one-loop order
• Holographic three-point functions for short operators
• Semiclassical correlators of three states with large S^5 charges in string theory in AdS_5 x S^5
• Novel construction and the monodromy relation for three-point functions at weak coupling
• Correlation Functions on the Half-BPS Wilson Loop: Perturbation and Hexagonalization
• String Bits and the Spin Vertex
• Holographic 3-point function at one loop
• Correlation functions of local composite operators from generalized unitarity
• Three-point correlators from string amplitudes: Mixing and Regge spins
• Three-point correlators of twist-2 operators in N=4 SYM at Born approximation
• A new integral representation for the scalar products of Bethe states for the XXX spin chain
• Classical Integrability for Three-point Functions: Cognate Structure at Weak and Strong Couplings
• String Regge trajectory in de Sitter space and implications for inflation
• χ-Systems for Correlation Functions
• Algebraic Curves for Long Folded and Circular Winding Strings in AdS5xS5
• Structure constants of operators on the Wilson loop from integrability
• Matching three-point functions of BMN operators at weak and strong coupling
• Octagons II: Strong Coupling
• Semiclassical correlation functions of Wilson loops and local vertex operators
• Three-point functions of BMN operators at weak and strong coupling II. One loop matching
• Large Charges on the Wilson Loop in $\mathcal{N}=4$ SYM: II. Quantum Fluctuations, OPE, and Spectral Curve
• On the singlet projector and the monodromy relation for psu(2, 2|4) spin chains and reduction to subsectors
• Three-Point Correlator of Heavy Vertex Operators for Circular Winding Strings in AdS5xS5
• Pohlmeyer reduction and Darboux transformations in Euclidean worldsheet AdS_3
• Three-point functions at strong coupling in the BMN limit
• Correlators of massive string states with conserved currents
• On some 3-point functions in the $W_4$ CFT and related braiding matrix
• TBA-like equations for non-planar scattering amplitude/Wilson lines duality at strong coupling
• Diagonal Form Factors and Hexagon Form Factors II. Non-BPS Light Operator
• Classical Liouville Three-point Functions from Riemann-Hilbert Analysis
• Leading finite-size effects on some three-point correlators in AdS_5 x S^5
• Spiky strings in de Sitter space
• On the semiclassical 3-point function in AdS_3
• $W_4$ Toda example as hidden Liouville CFT
• Liouville Theory, AdS${}_2$ String, and Three-Point Functions
• From Spin Vertex to String Vertex
• Three-point correlation functions from pulsating strings in AdS${}_5\times S^5$
• On semiclassical four-point correlators in AdS_5 x S^5
• Three-point functions of semiclassical string states and conserved currents in AdS_4 x CP^3
• Spacetime Bananas with EOW Branes and Spins