A light-cone approach to three-point functions in AdS_5 x S^5

Abstract

We consider worldsheet correlation functions for strings in AdS_5 x S^5 using a light-cone gauge for the worldsheet theory. We compute the saddle-point approximation to three-point functions of BMN vertex operators, all with large charges, by explicitly finding the intersection of three euclidean BMN strings. We repeat this calculation for non-BPS circular winding strings extended along a great circle of the S^5, though in this case the appropriate form of the vertex operator is uncertain. Furthermore, we compute the spectrum of fluctuations about euclidean BMN strings for generic boundary conditions, and show that the spectrum depends only on the total charge and not the details of the string configuration. We extend our considerations to include near-BMN vertex operators and through the evaluation of the string path integral make contact with the light-cone string field theory calculations of gauge theory three-point structure constants.

42 pages, 2 figures; v2: typos corrected, references added; v3: significant changes in section 7, in particular corrected saddle point for three-point function

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• Octagons I: Combinatorics and Non-Planar Resummations
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• Fixing the Quantum Three-Point Function
• Wave functions and correlation functions for GKP strings from integrability
• 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
• On four-point functions and integrability in N=4 SYM: from weak to strong coupling
• Computing Three-Point Functions for Short Operators
• String Bits and the Spin Vertex
• Thermal correlation functions in CFT and factorization
• Three-point correlators from string amplitudes: Mixing and Regge spins
• Comments on World-Sheet Form Factors in AdS/CFT
• Three-point Correlation Function of Giant Magnons in the Lunin-Maldacena background
• Cubic interactions of arbitrary spin fields in 3d flat space
• More three-point correlators of giant magnons with finite size
• Algebraic Curves for Long Folded and Circular Winding Strings in AdS5xS5
• Three-point correlators: Examples from Lunin-Maldacena background
• Three-point correlators: finite-size giant magnons and singlet scalar operators on higher string levels
• Matching three-point functions of BMN operators at weak and 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
• Three-Point Correlator of Heavy Vertex Operators for Circular Winding Strings in AdS5xS5
• Stringy correlations on deformed $Ad{S}_3\times S^3$
• Three-point functions at strong coupling in the BMN limit
• Extremal Correlator of Three Vertex Operators for Circular Winding Strings in AdS5xS5
• Correlators of massive string states with conserved currents
• Superfield approach to interacting N=2 massive and massless supermultiplets in 3d flat space
• Leading finite-size effects on some three-point correlators in AdS_5 x S^5
• On the semiclassical 3-point function in AdS_3
• Three-point correlation functions from pulsating strings in AdS${}_5\times S^5$
• Spacetime Bananas with EOW Branes and Spins
• Three-point functions of semiclassical string states and conserved currents in AdS_4 x CP^3
• On semiclassical four-point correlators in AdS_5 x S^5