Correlation functions of the ABJM model

Abstract

In the ABJM model, we study the three-point function of two heavy operators and an (ir)relevant one. Following the AdS/CFT correspondence, the structure constant in the large 't Hooft coupling limit can be factorized into two parts. One is the structure constant with a marginal operator, which is fully determined by the physical quantities of heavy operator and gives rise to the consistent result with the RG analysis. The other can be expressed as the universal form depending only on the conformal dimension of an (ir)relevant operator. We also investigate the new size effect of a circular string dual to a certain closed spin chain.

16 pages, no figure

References in corpus (64)

• N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals
• The Bethe-Ansatz for N=4 Super Yang-Mills
• Gauge Symmetry and Supersymmetry of Multiple M2-Branes
• Algebraic structures on parallel M2-branes
• A semi-classical limit of the gauge/string correspondence
• Correlation functions in the CFT(d)/AdS(d+1) correpondence
• The N=4 SYM Integrable Super Spin Chain
• Giant Magnons
• Holographic Probes of Anti-de Sitter Spacetimes
• Stringing Spins and Spinning Strings
• Finite-size Effects from Giant Magnons
• The SU(2) x SU(2) sector in the string dual of N=6 superconformal Chern-Simons theory
• Pohlmeyer reduction of AdS_5 x S^5 superstring sigma model
• Magnon Bound States and the AdS/CFT Correspondence
• On three-point correlation functions in the gauge/gravity duality
• Dyonic Giant Magnons
• N=6 super Chern-Simons theory S-matrix and all-loop Bethe ansatz equations
• Holographic three-point functions of semiclassical states
• Semiclassical Quantization of Spinning Strings in AdS_4 x CP^3
• Gauge-string duality for (non)supersymmetric deformations of N=4 Super Yang-Mills theory
• Spinning strings at one-loop in AdS_4 x P^3
• On correlation functions of operators dual to classical spinning string states
• Two loop integrability for Chern-Simons theories with N=6 supersymmetry
• Finite-size corrections in the SU(2) x SU(2) sector of type IIA string theory on AdS_4 x CP^3
• AdS4/CFT3 at One Loop
• 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
• Single spike solutions for strings on S2 and S3
• TBA and Y-system for planar $Ad{S}_4/CF{T}_3$
• Finite size Giant Magnons in the string dual of N=6 superconformal Chern-Simons theory
• Anomalous dimensions at four loops in N=6 superconformal Chern-Simons theories
• Two and three-point correlators of operators dual to folded string solutions at strong coupling
• Magnon dispersion to four loops in the ABJM and ABJ models
• Y-system, TBA and Quasi-Classical Strings in AdS4 x CP3
• Two-loop Integrability of Planar N=6 Superconformal Chern-Simons Theory
• Superspace calculation of the four-loop spectrum in N=6 supersymmetric Chern-Simons theories
• Moduli Dynamics of AdS_3 Strings
• Semiclassical four-point functions in AdS_5 x S^5
• Giant magnons in AdS_4/CFT_3: dispersion, quantization and finite--size corrections
• Correlators of Vertex Operators for Circular Strings with Winding Numbers in AdS5xS5
• Spiky Strings on AdS(4) X CP**3
• Three-point correlators for giant magnons
• Three-point Correlation functions of Giant magnons with finite size
• Dyonic Giant Magnons in CP^3: Strings and Curves at Finite J
• Correlation functions of magnon and spike
• Three- and four-point correlators of operators dual to folded string solutions in AdS_5 x S^5
• Holographic 3-point function at one loop
• Giant Gravitons on AdS_4 x CP^3 and their Holographic Three-point Functions
• From Schurs to Giants in ABJ(M)
• Full Lagrangian and Hamiltonian for quantum strings on AdS_4 x CP^3 in a near plane wave limit
• Correlation function of dyonic strings
• Dressed Giant Magnons on CP^3
• Three-point correlation functions from semiclassical circular strings
• 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
• One-Loop Spectroscopy of Scalar Three-Point Functions in planar N=4 super Yang-Mills Theory
• Three-point correlators: Examples from Lunin-Maldacena background
• Three-point correlators: finite-size giant magnons and singlet scalar operators on higher string levels
• On Three-point Functions in the AdS_4/CFT_3 Correspondence
• Unbounded Multi-Magnon and Spike
• On the giant magnon and spike solutions for strings on AdS${}_3\times$ S${}^3$
• Semiclassical strings in AdS(3) X S^2

Cited by in corpus (4)

• Stringy correlations on deformed $Ad{S}_3\times S^3$
• Leading finite-size effects on some three-point correlators in TsT-deformed AdS_5 x S^5
• 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