On three-point functions in ABJM and the latitude Wilson loop

Abstract

I consider three-point functions of twist-one operators in ABJM at weak coupling. I compute the structure constant of correlators involving one twist-one un-protected operator and two protected ones for a few finite values of the spin, up to two-loop order. As an application I enforce a limit on the gauge group ranks, in which I relate the structure constant for three chiral primary operators to the expectation value of a supersymmetric Wilson loop. Such a relation is then used to perform a successful five-loop test on the matrix model conjectured to describe the supersymmetric Wilson loop.

arXiv comment42 pages

References in corpus (84)

• N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals
• One-Loop n-Point Gauge Theory Amplitudes, Unitarity and Collinear Limits
• Exact Results for Wilson Loops in Superconformal Chern-Simons Theories with Matter
• Dual superconformal symmetry of scattering amplitudes in N=4 super-Yang-Mills theory
• Fractional M2-branes
• Conformal properties of four-gluon planar amplitudes and Wilson loops
• LiteRed 1.4: a powerful tool for the reduction of the multiloop integrals
• Three-Point Functions of Chiral Operators in D=4, $\mathcal{N}=4$ SYM at Large N
• Algorithm FIRE -- Feynman Integral REduction
• The analytical value of the electron (g-2) at order alpha^3 in QED
• From weak to strong coupling in ABJM theory
• Conformal Ward identities for Wilson loops and a test of the duality with gluon amplitudes
• FIRE6: Feynman Integral REduction with Modular Arithmetic
• Yangian symmetry of scattering amplitudes in N=4 super Yang-Mills theory
• One-Loop Corrections to Five-Gluon Amplitudes
• Localization techniques in quantum field theories
• Presenting LiteRed: a tool for the Loop InTEgrals REDuction
• A note on dual superconformal symmetry of the N=4 super Yang-Mills S-matrix
• An exact formula for the radiation of a moving quark in N=4 super Yang Mills
• The Bethe ansatz for superconformal Chern-Simons
• Exact Results in ABJM Theory from Topological Strings
• Scattering into the fifth dimension of N=4 super Yang-Mills
• A supermatrix model for N=6 super Chern-Simons-matter theory
• The all loop AdS4/CFT3 Bethe ansatz
• Exact results for the entanglement entropy and the energy radiated by a quark
• Spin Chains in N=6 Superconformal Chern-Simons-Matter Theory
• Wilson loops in 3-dimensional N=6 supersymmetric Chern-Simons Theory and their string theory duals
• Wilson Loops in Superconformal Chern-Simons Theory and Fundamental Strings in Anti-de Sitter Supergravity Dual
• Half-BPS Wilson loop and AdS${}_2$/CFT${}_1$
• Hexagonalization of Correlation Functions
• Supersymmetric Wilson Loops in N=6 Super Chern-Simons-matter theory
• Two-Loop Analysis of Non-abelian Chern-Simons Theory
• Structure Constants and Integrable Bootstrap in Planar N=4 SYM Theory
• Three-dimensional N=6 SCFT's and their membrane dynamics
• Nilpotent invariants in N=4 SYM
• Tessellating cushions: four-point functions in N=4 SYM
• Supersymmetric Wilson loops in N=4 super Chern-Simons-matter theory
• Two loop integrability for Chern-Simons theories with N=6 supersymmetry
• Conformal Partial Wave Expansions for N=4 Chiral Four Point Functions
• Scattering in Mass-Deformed N>=4 Chern-Simons Models
• New supersymmetric Wilson loops in ABJ(M) theories
• Quantum Spectral Curve and Structure Constants in N=4 SYM: Cusps in the Ladder Limit
• BPS Wilson loops and Bremsstrahlung function in ABJ(M): a two loop analysis
• Coulomb Branch Operators and Mirror Symmetry in Three Dimensions
• On Non-renormalization and OPE in Superconformal Field Theories
• Anomalous dimensions at four loops in N=6 superconformal Chern-Simons theories
• Superprotected n-point correlation functions of local operators in N=4 super Yang-Mills
• Non-supersymmetric Wilson loop in N=4 SYM and defect 1d CFT
• Dualities for Loop Amplitudes of N=6 Chern-Simons Matter Theory
• More Exact Results in the Wilson Loop Defect CFT: Bulk-Defect OPE, Nonplanar Corrections and Quantum Spectral Curve
• Two-loop Integrability of Planar N=6 Superconformal Chern-Simons Theory
• Conformal Anomaly for Amplitudes in N=6 Superconformal Chern-Simons Theory
• Wilson lines as superconformal defects in ABJM theory: a formula for the emitted radiation
• Scattering Amplitudes/Wilson Loop Duality In ABJM Theory
• Light-like polygonal Wilson loops in 3d Chern-Simons and ABJM theory
• Correlators on non-supersymmetric Wilson line in N=4 SYM and AdS${}_2$/CFT${}_1$
• One Loop Amplitudes In ABJM
• Analytic bootstrap and Witten diagrams for the ABJM Wilson line as defect CFT${}_1$
• Towards the exact Bremsstrahlung function of ABJM theory
• Octagons I: Combinatorics and Non-Planar Resummations
• Exact Bremsstrahlung functions in ABJM theory
• From Correlators to Wilson Loops in Chern-Simons Matter Theories
• The 1/2 BPS Wilson loop in ABJ(M) at two loops: The details
• Scattering in ABJ theories
• Perturbative evaluation of circular 1/2 BPS Wilson loops in N = 6 Super Chern-Simons theories
• The 1/2 BPS Wilson loop in ABJM theory at two loops
• Correlation Functions on the Half-BPS Wilson Loop: Perturbation and Hexagonalization
• Framing and localization in Chern-Simons theories with matter
• On the ABJM four-point amplitude at three loops and BDS exponentiation
• Light-like Wilson loops in ABJM and maximal transcendentality
• Three-Point Functions of Twist-Two Operators in N=4 SYM at One Loop
• A matrix model for the latitude Wilson loop in ABJM theory
• Scattering on the Moduli Space of N=4 Super Yang-Mills
• One-loop Holography with Strings in $Ad{S}_4\times {\mathbb{CP}}^3$
• Toward Precision Holography in Type IIA with Wilson Loops
• ABJ(M) Chiral Primary Three-Point Function at Two-loops
• A note on multiply wound BPS Wilson loops in ABJM
• Matching quantum string corrections and circular Wilson loops in $Ad{S}_4\times C{P}^3$
• On structure constants with two spinning twist-two operators
• ABJM $\theta$-Bremsstrahlung at four loops and beyond: non-planar corrections
• ABJM $\theta$-Bremsstrahlung at four loops and beyond
• An Extremal Chiral Primary Three-Point Function at Two-loops in ABJ(M)
• An exact limit of ABJM
• A note on three-point functions of unprotected operators

Cited by in corpus (8)

• A new upper limit on the axion-photon coupling with an extended CAST run with a Xe-based Micromegas detector
• Searching for Time-Dependent Axion Dark Matter Signals in Pulsars
• Cavity Detection of Gravitational Waves: Where Do We Stand?
• Axion minivoids and implications for direct detection
• Axion Dark Matter eXperiment around 3.3 μeV with Dine-Fischler-Srednicki-Zhitnitsky Discovery Ability
• First search for axion dark matter with a Madmax prototype
• Three twist-two, two spins, two loops
• Three-Point Functions in ABJM and Bethe Ansatz