From Correlators to Wilson Loops in Chern-Simons Matter Theories

Abstract

We study n-point correlation functions for chiral primary operators in three dimensional supersymmetric Chern-Simons matter theories. Our analysis is carried on in N=2 superspace and covers N=2,3 supersymmetric CFT's, the N=6 ABJM and the N=8 BLG models. In the limit where the positions of adjacent operators become light-like, we find that the one-loop n-point correlator divided by its tree level expression coincides with a light-like n-polygon Wilson loop. Remarkably, the result can be simply expressed as a linear combination of five dimensional two-mass easy boxes. We manage to evaluate the integrals analytically and find a vanishing result, in agreement with previous findings for Wilson loops.

32 pages, 6 figures, JHEP3

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• N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals
• Algebraic structures on parallel M2-branes
• Gluon scattering amplitudes at strong coupling
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• The All-Loop Integrand For Scattering Amplitudes in Planar N=4 SYM
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• Hexagon Wilson loop = six-gluon MHV amplitude
• The hexagon Wilson loop and the BDS ansatz for the six-gluon amplitude
• Yangian Invariant Scattering Amplitudes in Supersymmetric Chern-Simons Theory
• Scattering in Mass-Deformed N>=4 Chern-Simons Models
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• On the fermionic T-duality of the AdS_4 \times CP^3 sigma-model
• On AdS_4 x CP^3 T-duality
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Cited by in corpus (31)

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• The super-correlator/super-amplitude duality: Part II
• ABJM amplitudes and the positive orthogonal grassmannian
• Dualities for Loop Amplitudes of N=6 Chern-Simons Matter Theory
• Conformal Anomaly for Amplitudes in N=6 Superconformal Chern-Simons Theory
• Scattering Amplitudes/Wilson Loop Duality In ABJM Theory
• One Loop Amplitudes In ABJM
• A note on amplitudes in N=6 superconformal Chern-Simons theory
• The 1/2 BPS Wilson loop in ABJ(M) at two loops: The details
• Scattering in ABJ theories
• The 1/2 BPS Wilson loop in ABJM theory at two loops
• On correlation functions of BPS operators in $3d$ $\mathcal{N}=6$ superconformal theories
• Amplitudes of 3d Yang Mills Theory
• Equivalence of Wilson Loops in ABJM and N = 4 SYM Theory
• Two-loop effective potentials in general N=2, d=3 chiral superfield model
• On the ABJM four-point amplitude at three loops and BDS exponentiation
• Light-like Wilson loops in ABJM and maximal transcendentality
• Form Factors of Chiral Primary Operators at Two Loops in ABJ(M)
• Fermionic T-duality in the pp-wave limit
• Non-planarity through unitarity in ABJM
• All one-loop amplitudes in N=6 superconformal Chern-Simons theory
• A Requiem for $Ad{S}_4\times \mathbb{C}{P}^3$ Fermionic self-T-duality
• Strings in AdS_4 x CP^3: finite size spectrum vs. Bethe Ansatz
• Self-duality of the D1-D5 near-horizon
• T-Duality of Green-Schwarz Superstrings on AdS(d) x S(d) x M(10-2d)
• ABJM amplitudes and WL at finite N
• On Three-point Functions in the AdS_4/CFT_3 Correspondence
• Supersymmetric Wilson loops with general contours in ABJM theory
• On three-point functions in ABJM and the latitude Wilson loop
• Wilson loops in N=6 superspace for ABJM theory
• ABJM flux-tube and scattering amplitudes