Scattering Amplitudes/Wilson Loop Duality In ABJM Theory

Abstract

For N=6 superconformal Chern-Simons-matter theories in three dimensions, by a direct superspace Feynman diagram approach, we compute the two-loop four-point scattering amplitude with external chiral matter fields. We find that the result is in perfect agreement with the two-loop result for a light-like four-polygon Wilson loop. This is a nontrivial evidence of the scattering amplitudes/Wilson loop duality in three dimensions. Moreover, both the IR divergent and the finite parts of our two-loop result agree with a BDS-like ansatz for all-loop amplitudes where the scaling function is given in terms of the N=4 SYM one, according to the conjectured Bethe equations for ABJM. Consequently, we are able to make a prediction for the four-loop correction to the amplitude. We also discuss the dual conformal invariance of the two-loop result.

1+16 pages, 2 figures, minor modifications and references added

References in corpus (25)

• N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals
• Gluon scattering amplitudes at strong coupling
• MHV Amplitudes in N=4 Super Yang-Mills and Wilson Loops
• Yangian symmetry of scattering amplitudes in N=4 super Yang-Mills theory
• Hexagon Wilson loop = six-gluon MHV amplitude
• The Complete Planar S-matrix of N=4 SYM as a Wilson Loop in Twistor Space
• The Bethe ansatz for superconformal Chern-Simons
• The all loop AdS4/CFT3 Bethe ansatz
• The hexagon Wilson loop and the BDS ansatz for the six-gluon amplitude
• Notes on the scattering amplitude / Wilson loop duality
• Spin Chains in N=6 Superconformal Chern-Simons-Matter Theory
• Quantum spinning strings in AdS_4 x CP^3: testing the Bethe Ansatz proposal
• Spinning strings at one-loop in AdS_4 x P^3
• Two loop integrability for Chern-Simons theories with N=6 supersymmetry
• Yangian Invariant Scattering Amplitudes in Supersymmetric Chern-Simons Theory
• Scattering in Mass-Deformed N>=4 Chern-Simons Models
• Dual Superconformal Symmetry of N=6 Chern-Simons Theory
• Comment on the Scaling Function in AdS4 x CP3
• Dualities for Loop Amplitudes of N=6 Chern-Simons Matter Theory
• Superspace calculation of the four-loop spectrum in N=6 supersymmetric Chern-Simons theories
• On the fermionic T-duality of the AdS_4 \times CP^3 sigma-model
• On AdS_4 x CP^3 T-duality
• Quantum Strings and the AdS4/CFT3 Interpolating Function
• From Correlators to Wilson Loops in Chern-Simons Matter Theories
• On the infrared behaviour of 3d Chern-Simons theories in N=2 superspace

Cited by in corpus (43)

• BPS Wilson loops and Bremsstrahlung function in ABJ(M): a two loop analysis
• Unitarity, Crossing Symmetry and Duality of the S-matrix in large N Chern-Simons theories with fundamental matter
• ABJM amplitudes and the positive orthogonal grassmannian
• The generalized cusp in ABJ(M) N = 6 Super Chern-Simons theories
• Conformal Anomaly for Amplitudes in N=6 Superconformal Chern-Simons Theory
• Unitarity, Crossing Symmetry and Duality in the scattering of $\mathcal{N}=1$ Susy Matter Chern-Simons theories
• 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
• Perturbative evaluation of circular 1/2 BPS Wilson loops in N = 6 Super Chern-Simons theories
• Scattering Amplitude and Bosonization Duality in General Chern-Simons Vector Models
• 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
• An all order identity between ABJM and N=4 SYM four-point amplitudes
• Light-like Wilson loops in ABJM and maximal transcendentality
• 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
• All-Loop Four-Point Aharony-Bergman-Jafferis-Maldacena Amplitudes from Dimensional Reduction of the Amplituhedron
• Two-loop Sudakov Form Factor in ABJM
• Form Factors of Chiral Primary Operators at Two Loops in ABJ(M)
• 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
• Supersymmetry and Mass Gap in 2+1 Dimensions: A Gauge Invariant Hamiltonian Analysis
• Strings in AdS_4 x CP^3: finite size spectrum vs. Bethe Ansatz
• Integrated negative geometries in ABJM
• T-Duality of Green-Schwarz Superstrings on AdS(d) x S(d) x M(10-2d)
• Self-duality of the D1-D5 near-horizon
• ABJM amplitudes and WL at finite N
• Crossing Symmetry in Matter Chern-Simons Theories at finite $N$ and $k$
• On three-point functions in ABJM and the latitude Wilson loop
• Four-point amplitudes in $\mathcal{N}=2$ SCQCD
• An exact limit of ABJM
• 6d Dual Conformal Symmetry and Minimal Volumes in AdS
• N=8 SYM vs. N=6 Chern-Simons: Four-point amplitudes at two-loops
• Wilson loops in N=6 superspace for ABJM theory
• Scattering Amplitudes of Massive N=2 Gauge Theories in Three Dimensions
• ABJM flux-tube and scattering amplitudes
• BPS Wilson loops in mass-deformed ABJM theory: Fermi gas expansions and new defect CFT data
• Minimally helicity violating, maximally simple scalar amplitudes in N=4 SYM
• $\mathcal{N}=3$ Harmonic Super-Wilson Loop
• T-duality to Scattering Amplitude and Wilson Loop in Non-commutative Super Yang-Mills Theory