Large spin expansion of semiclassical 3-point correlators in AdS_5 x S^5

Abstract

3-point correlators in AdS_5xS^5 string theory in which two states are "heavy" (have large quantum numbers) and the third is "light" (here chosen as chiral primary scalar) can be computed semiclassically in terms of the "light" vertex operator evaluated on the classical string solution sourced by the two "heavy" operators. We observe that in the case when the "heavy" operators represent BPS states there is an ambiguity in the computation depending on whether the mass shell (or marginality) condition is imposed before or after integration over the world sheet. We show that this ambiguity is resolved in a universal way by defining the BPS correlator as a limit of the one with non-BPS "heavy" states. We consider several examples with "heavy" states represented by folded or circular spinning strings in AdS_5xS^5 that admit a point-like BMN-type limit when one S^5 spin J is much larger than the others. Remarkably, in all of these cases the large J expansion of the 3-point correlator has the same structure as expected in perturbative (tree-level and one-loop) dual gauge theory. We conjecture that, like the leading chiral primary correlator term, the coefficients of the first few subleading terms are also protected, i.e. should be the same at strong and weak coupling.

arXiv comment17 pages

References in corpus (37)

• A semi-classical limit of the gauge/string correspondence
• Correlation functions in the CFT(d)/AdS(d+1) correpondence
• Transcendentality and Crossing
• Semiclassical quantization of rotating superstring in AdS_5 x S^5
• Multi-spin string solutions in AdS_5 x S^5
• The Operator Product Expansion for Wilson Loops and Surfaces in the Large N Limit
• Stringing Spins and Spinning Strings
• Spinning strings in AdS_5 x S^5: new integrable system relations
• Rotating string solutions: AdS/CFT duality in non-supersymmetric sectors
• Precision Spectroscopy of AdS/CFT
• Tailoring Three-Point Functions and Integrability
• BMN Correlators and Operator Mixing in N=4 Super Yang-Mills Theory
• Extremal Correlators in the AdS/CFT Correspondence
• On Quantum Corrections to Spinning Strings and Bethe Equations
• On three-point correlation functions in the gauge/gravity duality
• Operator Mixing and the BMN Correspondence
• Holographic three-point functions of semiclassical states
• On correlation functions of operators dual to classical spinning string states
• Some Cubic Couplings in Type IIB Supergravity on $Ad{S}_5\times S^5$ and Three-point Functions in SYM_4 at Large N
• Three-Point Functions in N=4 SYM Theory at One-Loop
• Yang-Mills Correlation Functions from Integrable Spin Chains
• Structure constants of planar N =4 Yang Mills at one loop
• 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
• On semiclassical approximation and spinning string vertex operators in AdS_5 x S^5
• Scalar Quartic Couplings in Type IIB Supergravity on $Ad{S}_5\times S^5$
• Two and three-point correlators of operators dual to folded string solutions at strong coupling
• On the correspondence between gravity fields and CFT operators
• Semiclassical four-point functions in AdS_5 x S^5
• Dilaton - fixed scalar correlators and AdS_5 x S^5 - SYM correspondence
• Search for the most stable massive state in superstring theory
• Correlators of Vertex Operators for Circular Strings with Winding Numbers in AdS5xS5
• Review of AdS/CFT Integrability, Chapter IV.1: Aspects of Non-Planarity
• Energy-Spin Trajectories in AdS_5 x S^5 from Semiclassical Vertex Operators
• Operator mixing and three-point functions in N=4 SYM
• Two-loop AdS_5 x S^5 superstring: testing asymptotic Bethe ansatz and finite size corrections
• One-Loop Spectroscopy of Scalar Three-Point Functions in planar N=4 super Yang-Mills Theory

Cited by in corpus (39)

• Tailoring Three-Point Functions and Integrability
• Holographic three-point functions of giant gravitons
• Correlation functions of three heavy operators - the AdS contribution
• Tailoring Three-Point Functions and Integrability II. Weak/strong coupling match
• HHL correlators, orbit averaging and form factors
• Holographic Correlation Functions for Open Strings and Branes
• Semiclassical four-point functions in AdS_5 x S^5
• SL(2) sector: weak/strong coupling agreement of three-point correlators
• Extremal vs. Non-Extremal Correlators with Giant Gravitons
• A light-cone approach to three-point functions in AdS_5 x S^5
• On holographic three point functions for GKP strings from integrability
• Wave functions and correlation functions for GKP strings from integrability
• Review of AdS/CFT Integrability, Chapter IV.1: Aspects of Non-Planarity
• Three-point Correlation functions of Giant magnons with finite size
• Three-point correlators for giant magnons
• 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
• Holographic 3-point function at one loop
• Three-point correlators of twist-2 operators in N=4 SYM at Born approximation
• Three-Point Functions of Twist-Two Operators in N=4 SYM at One Loop
• Three-point Correlation Function of Giant Magnons in the Lunin-Maldacena background
• More three-point correlators of giant magnons with finite size
• Three-point correlators: Examples from Lunin-Maldacena background
• Three-point correlators: finite-size giant magnons and singlet scalar operators on higher string levels
• Orbit Averaging Coherent States: Holographic Three-Point Functions of AdS Giant Gravitons
• On semiclassical calculation of three-point functions in AdS_5 \times T^(1,1)
• 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
• Extremal Correlator of Three Vertex Operators for Circular Winding Strings in AdS5xS5
• Correlators of massive string states with conserved currents
• Quadratic corrections to three-point functions
• Worldsheet operator product expansions and p-point functions in AdS3/CFT2
• Leading finite-size effects on some three-point correlators in AdS_5 x S^5
• Three-point correlation functions from pulsating strings in AdS${}_5\times S^5$
• Splitting strings on integrable backgrounds
• 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