On semiclassical computation of 3-point functions of closed string vertex operators in AdS_5 x S^5

Abstract

We consider the leading large string tension correction to correlation functions of three vertex operators of particular massive string states in AdS_5 x S^5 string theory. We assume that two of these states are "heavy" carrying large spins (of order string tension) and thus can be treated semiclassically while the third state is "light" having fixed quantum numbers. We study several examples. In the case when the "heavy" states are described by a folded string with large spin in AdS_5 the 3-point function scales as a semiclassical spin parameter of the "heavy" state in power of the string level of the "light" massive string state. We observe similar behavior in the case of "heavy" states which admit a small angular momentum limit which may thus represent correlators of three quantum massive string states.

24 pages, Latex v2: typos corrected, clarifying remarks and references added v3: minor corrections, fixed normalization of dilaton vertex operator

References in corpus (37)

• Gauge Theory Correlators from Non-Critical String Theory
• A semi-classical limit of the gauge/string correspondence
• Correlation functions in the CFT(d)/AdS(d+1) correpondence
• Implications of Conformal Invariance in Field Theories for General Dimensions
• 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
• Spin chains and string theory
• Large spin limit of AdS_5 x S^5 string theory and low energy expansion of ferromagnetic spin chains
• Gauge Fields and Space-Time
• Conformal Field Theory Correlators from Classical Scalar Field Theory on $Ad{S}_{d+1}$
• Exact AdS/CFT spectrum: Konishi dimension at any coupling
• Logarithmic corrections to higher twist scaling at strong coupling from AdS/CFT
• On correlation functions of operators dual to classical spinning string states
• Scalar Absorption and the Breaking of the World Volume Conformal Invariance
• Properties of the Konishi multiplet in N=4 SYM theory
• 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 approximation for correlators of closed string vertex operators in AdS/CFT
• Quantum strings in AdS_5 x S^5: strong-coupling corrections to dimension of Konishi operator
• Spinning superstrings at two loops: strong-coupling corrections to dimensions of large-twist SYM operators
• On semiclassical approximation and spinning string vertex operators in AdS_5 x S^5
• Holographic Reformulation of String Theory on AdS_5 x S^5 background in the PP-wave limit
• AdS_5/CFT_4 Four-point Functions of Chiral Primary Operators: Cubic Vertices
• Open string fluctuations in AdS_5xS^5 and operators with large R-charge
• Dilaton - fixed scalar correlators and AdS_5 x S^5 - SYM correspondence
• Search for the most stable massive state in superstring theory
• A Semiclassical String Description of Wilson Loop with Local Operators
• Splitting spinning strings in AdS/CFT
• Holography of Two-point Functions in the Spinning String/Spin Chain Correspondence
• Holography of Wilson-Loop Expectation Values with Local Operator Insertions
• Comparing strings in AdS(5)xS(5) to planar diagrams: an example
• Energy-Spin Trajectories in AdS_5 x S^5 from Semiclassical Vertex Operators
• Quasilocality of joining/splitting strings from coherent states
• One-Loop Spectroscopy of Scalar Three-Point Functions in planar N=4 super Yang-Mills Theory

Cited by in corpus (62)

• Tailoring Three-Point Functions and Integrability
• Correlation functions of three heavy operators - the AdS contribution
• Tailoring Three-Point Functions and Integrability III. Classical Tunneling
• Correlators of Wilson loops and local operators from multi-matrix models and strings in AdS
• Two and three-point correlators of operators dual to folded string solutions at strong coupling
• 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
• Next-next-to-extremal Four Point Functions of N=4 1/2 BPS Operators in the AdS/CFT Correspondence
• Growing Extra Dimensions in AdS/CFT
• A light-cone approach to three-point functions in AdS_5 x S^5
• Large spin expansion of semiclassical 3-point correlators in AdS_5 x S^5
• Extremal vs. Non-Extremal Correlators with Giant Gravitons
• Correlators of Vertex Operators for Circular Strings with Winding Numbers in AdS5xS5
• Review of AdS/CFT Integrability, Chapter IV.1: Aspects of Non-Planarity
• A tree-level 3-point function in the su(3)-sector of planar N=4 SYM
• Three-point Correlation functions of Giant magnons with finite size
• Three-point functions in planar N=4 super Yang-Mills Theory for scalar operators up to length five at the one-loop order
• Superstrings in AdS
• Semiclassical correlators of three states with large S^5 charges in string theory in AdS_5 x S^5
• Correlation functions of magnon and spike
• On four-point functions and integrability in N=4 SYM: from weak to strong coupling
• Three- and four-point correlators of operators dual to folded string solutions in AdS_5 x S^5
• Correlation functions, null polygonal Wilson loops, and local operators
• Correlation function of circular Wilson loop with two local operators and conformal invariance
• Correlation functions of local composite operators from generalized unitarity
• Anomalous conformal currents, shadow fields and massive AdS fields
• Correlation function of dyonic strings
• Twistor actions for gauge theory and gravity
• On strong-coupling correlation functions of circular Wilson loops and local operators
• Three-point Correlation Function of Giant Magnons in the Lunin-Maldacena background
• Phase transitions in Wilson loop correlator from integrability in global AdS
• On semiclassical calculation of three-point functions in AdS_4 x CP^3
• More three-point correlators of giant magnons with finite size
• Finite size effect on the magnon's correlation functions
• Gauge invariant approach to low-spin anomalous conformal currents and shadow fields
• Algebraic Curves for Long Folded and Circular Winding Strings in AdS5xS5
• Holographic three-point correlators in the Schrodinger/dipole CFT correspondence
• Three-point correlators: Examples from Lunin-Maldacena background
• On semiclassical calculation of three-point functions in AdS_5 \times T^(1,1)
• The two-loop dilatation operator of N=4 super Yang-Mills theory in the SO(6) sector
• Orbit Averaging Coherent States: Holographic Three-Point Functions of AdS Giant Gravitons
• Three-point correlators: finite-size giant magnons and singlet scalar operators on higher string levels
• Semiclassical correlation functions of Wilson loops and local vertex operators
• Three-Point Correlator of Heavy Vertex Operators for Circular Winding Strings in AdS5xS5
• Holographic correlators of semiclassical states in defect CFTs
• Extremal Correlator of Three Vertex Operators for Circular Winding Strings in AdS5xS5
• Quadratic corrections to three-point functions
• Correlators of massive string states with conserved currents
• String theory on the Schrodinger pp-wave background
• Correlation functions of the ABJM model
• Leading finite-size effects on some three-point correlators in AdS_5 x S^5
• Some three-point correlation functions in the eta-deformed AdS_5 x S^5
• Structure constants of $\beta$ deformed super Yang-Mills
• Comments on Correlation Functions of Large Spin Operators and Null Polygonal Wilson Loops
• Leading finite-size effects on some three-point correlators in TsT-deformed AdS_5 x S^5
• Holographic correlation functions of hexagon Wilson loops with one local operator
• Three-point correlation functions from pulsating strings in AdS${}_5\times S^5$
• Three-point functions of semiclassical string states and conserved currents in AdS_4 x CP^3
• P-Branes Dynamics, AdS/CFT and Correlation Functions
• On semiclassical four-point correlators in AdS_5 x S^5
• Semiclassical structure constants in the eta-deformed AdS_5 x S^5: Leading finite-size corrections