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.

42 pages

References in corpus (32)

• N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals
• Fractional M2-branes
• Conformal properties of four-gluon planar amplitudes and Wilson loops
• Algorithm FIRE -- Feynman Integral REduction
• Yangian symmetry of scattering amplitudes in N=4 super Yang-Mills theory
• Presenting LiteRed: a tool for the Loop InTEgrals REDuction
• A note on dual superconformal symmetry of the N=4 super Yang-Mills S-matrix
• The Bethe ansatz for superconformal Chern-Simons
• The all loop AdS4/CFT3 Bethe ansatz
• Spin Chains in N=6 Superconformal Chern-Simons-Matter Theory
• Wilson Loops in Superconformal Chern-Simons Theory and Fundamental Strings in Anti-de Sitter Supergravity Dual
• Hexagonalization of Correlation Functions
• Supersymmetric Wilson Loops in N=6 Super Chern-Simons-matter theory
• Three-dimensional N=6 SCFT's and their membrane dynamics
• Structure Constants and Integrable Bootstrap in Planar N=4 SYM Theory
• Two loop integrability for Chern-Simons theories with N=6 supersymmetry
• Scattering in Mass-Deformed N>=4 Chern-Simons Models
• BPS Wilson loops and Bremsstrahlung function in ABJ(M): a two loop analysis
• Superprotected n-point correlation functions of local operators in N=4 super Yang-Mills
• 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
• 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
• Correlation Functions on the Half-BPS Wilson Loop: Perturbation and Hexagonalization
• On the ABJM four-point amplitude at three loops and BDS exponentiation
• ABJ(M) Chiral Primary Three-Point Function at Two-loops
• 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)

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