One Loop Amplitudes In ABJM

Abstract

For three dimensional N=6 superconformal field theories we compute one-loop scattering amplitudes for any number of external particles. We focus on a particular subsector of N=2 invariant superamplitudes for which the ordinary perturbative evaluation becomes very easy. The result we obtain is in general non-vanishing. For six external particles our findings are sufficient for determining the complete expression of the N=6 superamplitude at this order. We discuss the symmetries of the result and its anomalous variation under superconformal generators.

1+34 pages, 4 figures, references added, published version

References in corpus (71)

• N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals
• Direct Proof Of Tree-Level Recursion Relation In Yang-Mills Theory
• Gluon scattering amplitudes at strong coupling
• 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
• MHV Amplitudes in N=4 Super Yang-Mills and Wilson Loops
• Superconformal Chern-Simons Theories and AdS_4/CFT_3 Correspondence
• On planar gluon amplitudes/Wilson loops duality
• Yangian symmetry of scattering amplitudes in N=4 super Yang-Mills theory
• Comments on gluon scattering amplitudes via AdS/CFT
• Fermionic T-Duality, Dual Superconformal Symmetry, and the Amplitude/Wilson Loop Connection
• The Complete Planar S-matrix of N=4 SYM as a Wilson Loop in Twistor Space
• Green-Schwarz action for Type IIA strings on $Ad{S}_4\times C{P}^3$
• Superstrings on AdS_4 x CP^3 as a Coset Sigma-model
• A Relation Between Approaches to Integrability in Superconformal Yang-Mills Theory
• The Bethe ansatz for superconformal Chern-Simons
• The SU(2) x SU(2) sector in the string dual of N=6 superconformal Chern-Simons theory
• The all loop AdS4/CFT3 Bethe ansatz
• On Type IIA Penrose Limit and N=6 Chern-Simons Theories
• Notes on the scattering amplitude / Wilson loop duality
• Spin Chains in N=6 Superconformal Chern-Simons-Matter Theory
• Gauge Theory Amplitudes In Twistor Space And Holomorphic Anomaly
• From correlation functions to Wilson loops
• From correlation functions to scattering amplitudes
• N=6 super Chern-Simons theory S-matrix and all-loop Bethe ansatz equations
• Quantum spinning strings in AdS_4 x CP^3: testing the Bethe Ansatz proposal
• Computing One-Loop Amplitudes From The Holomorphic Anomaly Of Unitarity Cuts
• Semiclassical Quantization of Spinning Strings in AdS_4 x CP^3
• Spinning strings at one-loop in AdS_4 x P^3
• Exacting N=4 Superconformal Symmetry
• The AdS4/CFT3 algebraic curve
• Tree-level Recursion Relation and Dual Superconformal Symmetry of the ABJM Theory
• Symmetries of Tree-level Scattering Amplitudes in N=6 Superconformal Chern-Simons Theory
• One-Loop Superconformal and Yangian Symmetries of Scattering Amplitudes in N=4 Super Yang-Mills
• N=1 Supersymmetric One-loop Amplitudes and the Holomorphic Anomaly of Unitarity Cuts
• Two loop integrability for Chern-Simons theories with N=6 supersymmetry
• Yangian Invariant Scattering Amplitudes in Supersymmetric Chern-Simons Theory
• AdS4/CFT3 at One Loop
• Scattering in Mass-Deformed N>=4 Chern-Simons Models
• Simplifying superstring and D-brane actions in AdS(4) x CP(3) superbackground
• Dual Superconformal Symmetry of N=6 Chern-Simons Theory
• Anomalous dimensions at four loops in N=6 superconformal Chern-Simons theories
• Holomorphic Anomaly Of Unitarity Cuts And One-Loop Gauge Theory Amplitudes
• Are scattering amplitudes dual to super Wilson loops?
• Magnon dispersion to four loops in the ABJM and ABJ models
• 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
• Conformal Anomaly for Amplitudes in N=6 Superconformal Chern-Simons Theory
• Amplitudes of 3D and 6D Maximal Superconformal Theories in Supertwistor Space
• On the fermionic T-duality of the AdS_4 \times CP^3 sigma-model
• Scattering Amplitudes/Wilson Loop Duality In ABJM Theory
• On Integrable Backgrounds Self-dual under Fermionic T-duality
• Light-like polygonal Wilson loops in 3d Chern-Simons and ABJM theory
• On AdS_4 x CP^3 T-duality
• Evidence for the classical integrability of the complete AdS(4) x CP(3) superstring
• Quantum Strings and the AdS4/CFT3 Interpolating Function
• Self-Duality of Green-Schwarz Sigma-Models
• Infrared Stability of N=2 Chern-Simons Matter Theories
• Infrared stability of ABJ-like theories
• From Correlators to Wilson Loops in Chern-Simons Matter Theories
• Symmetries of the N=4 SYM S-matrix
• Scattering in ABJ theories
• Finite-size corrections for quantum strings on AdS_4 x CP^3
• An all order identity between ABJM and N=4 SYM four-point amplitudes
• Fermionic T-duality in the pp-wave limit
• Strings in AdS_4 x CP^3: finite size spectrum vs. Bethe Ansatz
• On the Fermionic Frequencies of Circular Strings
• Self-duality of the D1-D5 near-horizon
• Factorized Tree-level Scattering in AdS_4 x CP^3

Cited by in corpus (35)

• Scattering Amplitudes
• 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
• 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
• 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
• Integrable Amplitude Deformations for N=4 Super Yang-Mills and ABJM Theory
• Scattering Amplitude and Bosonization Duality in General Chern-Simons Vector Models
• The 1/2 BPS Wilson loop in ABJM theory at two loops
• Amplitudes of 3d Yang Mills Theory
• A new integral formula for supersymmetric scattering amplitudes in three dimensions
• Yangian Bootstrap for Massive Feynman Integrals
• Light-like Wilson loops in ABJM and maximal transcendentality
• 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
• 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
• Integrated negative geometries in ABJM
• The two-loop six-point amplitude in ABJM theory
• ABJM amplitudes and WL at finite N
• On three-point functions in ABJM and the latitude Wilson loop
• Four-point amplitudes in $\mathcal{N}=2$ SCQCD
• The two-loop eight-point amplitude in ABJM theory
• Fermionic T-Duality of $Ad{S}_n\times S^n(\times S^n)\times T^m$ using IIA Supergravity
• Quantum noncommutative ABJM theory: first steps
• N=8 SYM vs. N=6 Chern-Simons: Four-point amplitudes at two-loops
• Scattering Amplitudes of Massive N=2 Gauge Theories in Three Dimensions
• ABJM flux-tube and scattering amplitudes
• Minimally helicity violating, maximally simple scalar amplitudes in N=4 SYM
• Perturbative Methods for Superconformal Quantum Field Theories in String - Gauge Theory Dualities
• Antenna Operator Product Expansion of ABJ(M) Lightlike Polygon Wilson Loop
• On the Amplitude/Wilson Loop duality in $\mathcal{N}=2$ SCQCD
• A note on scattering amplitudes on the moduli space of ABJM