Symmetries of Tree-level Scattering Amplitudes in N=6 Superconformal Chern-Simons Theory

Abstract

Constraints of the osp(6|4) symmetry on tree-level scattering amplitudes in N=6 superconformal Chern-Simons theory are derived. Supplemented by Feynman diagram calculations, solutions to these constraints, namely the four- and six-point superamplitudes, are presented and shown to be invariant under Yangian symmetry. This introduces integrability into the amplitude sector of the theory.

50 pages. v2, v3: References added, minor corrections

References in corpus (30)

• N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals
• Gluon scattering amplitudes at strong coupling
• Conformal properties of four-gluon planar amplitudes and Wilson loops
• 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
• Green-Schwarz action for Type IIA strings on $Ad{S}_4\times C{P}^3$
• Dual Superconformal Symmetry from AdS5 x S5 Superstring Integrability
• A note on dual superconformal symmetry of the N=4 super Yang-Mills S-matrix
• Thermodynamic Bubble Ansatz
• Y-system for Scattering Amplitudes
• The Bethe ansatz for superconformal Chern-Simons
• Amplitudes and Spinor-Helicity in Six Dimensions
• All tree-level amplitudes in N=4 SYM
• Exacting N=4 Superconformal Symmetry
• The complete AdS(4) x CP(3) superspace for the type IIA superstring and D-branes
• The AdS4/CFT3 algebraic curve
• Integrable Spin Chain in Superconformal Chern-Simons Theory
• The Yangian origin of the Grassmannian integral
• Yangians, Grassmannians and T-duality
• One-Loop Superconformal and Yangian Symmetries of Scattering Amplitudes in N=4 Super Yang-Mills
• Two loop integrability for Chern-Simons theories with N=6 supersymmetry
• Scattering in Mass-Deformed N>=4 Chern-Simons Models
• Superconformal invariants for scattering amplitudes in N=4 SYM theory
• T-Duality, Dual Conformal Symmetry and Integrability for Strings on AdS_5 x S^5
• Integrability of N=6 Chern-Simons Theory at Six Loops and Beyond
• Serre Relation and Higher Grade Generators of the AdS/CFT Yangian Symmetry
• First-quantized N=4 Yang-Mills
• Factorized Tree-level Scattering in AdS_4 x CP^3
• The Morphology of N=6 Chern-Simons Theory

Cited by in corpus (65)

• Scattering in Three Dimensions from Rational Maps
• New Relations for Three-Dimensional Supersymmetric Scattering Amplitudes
• Tree-level Recursion Relation and Dual Superconformal Symmetry of the ABJM Theory
• Yangian Invariant Scattering Amplitudes in Supersymmetric Chern-Simons Theory
• Equivalent D=3 Supergravity Amplitudes from Double Copies of Three-Algebra and Two-Algebra Gauge Theories
• Dual Conformal Properties of Six-Dimensional Maximal Super Yang-Mills Amplitudes
• Lectures on Yangian Symmetry
• 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
• On the fermionic T-duality of the AdS_4 \times CP^3 sigma-model
• One Loop Amplitudes In ABJM
• On AdS_4 x CP^3 T-duality
• Evidence for the classical integrability of the complete AdS(4) x CP(3) superstring
• Self-Duality of Green-Schwarz Sigma-Models
• A note on amplitudes in N=6 superconformal Chern-Simons theory
• Bonus Yangian Symmetry for the Planar S-Matrix of N=4 Super Yang-Mills
• Amplitudes for Multiple M5 Branes
• Yangian Symmetry and Integrability of Planar N=4 Super-Yang-Mills Theory
• Integrable Amplitude Deformations for N=4 Super Yang-Mills and ABJM Theory
• 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
• Exact Superconformal and Yangian Symmetry of Scattering Amplitudes
• Amplitudes of 3d Yang Mills Theory
• A new integral formula for supersymmetric scattering amplitudes in three dimensions
• Non-Chiral S-Matrix of N=4 Super Yang-Mills
• The orthogonal momentum amplituhedron and ABJM amplitudes
• On the ABJM four-point amplitude at three loops and BDS exponentiation
• Light-like Wilson loops in ABJM and maximal transcendentality
• Two-loop Sudakov Form Factor in ABJM
• Form Factors of Chiral Primary Operators at Two Loops in ABJ(M)
• Yangian Symmetry for the Action of Planar N=4 Super Yang-Mills and N=6 Super Chern-Simons Theories
• Non-planarity through unitarity in ABJM
• 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
• Fermionic T-duality: A snapshot review
• Integrated negative geometries in ABJM
• Self-duality of the D1-D5 near-horizon
• The two-loop six-point amplitude in ABJM theory
• ABJM amplitudes and WL at finite N
• Consistency conditions from generalized-unitarity
• Hidden Conformal Symmetry in Tree-Level Graviton Scattering
• Manifest SO(N) invariance and S-matrices of three-dimensional N=2,4,8 SYM
• Minitwistors and 3d Yang-Mills-Higgs theory
• The two-loop eight-point amplitude in ABJM theory
• Four-point amplitudes in $\mathcal{N}=2$ SCQCD
• Nonlocal Symmetries and Factorized Scattering
• ABJM Amplitudes in U-gauge and a Soft Theorem
• $\mathcal{N}=7$ On-Shell Diagrams and Supergravity Amplitudes in Momentum Twistor Space
• Fermionic T-duality and U-duality in type II supergravity
• Fermionic T-Duality of $Ad{S}_n\times S^n(\times S^n)\times T^m$ using IIA Supergravity
• Scattering Amplitudes in $\mathcal{N}=3$ Supersymmetric $SU(N)$ Chern-Simons-Matter Theory at Large $N$
• 6d Dual Conformal Symmetry and Minimal Volumes in AdS
• Yangian Superalgebras in Conformal Field Theory
• Scattering Amplitudes of Massive N=2 Gauge Theories in Three Dimensions
• Properties of the Conformal Yangian in Scalar and Gauge Field Theories
• ABJM flux-tube and scattering amplitudes
• BPS Wilson loops in mass-deformed ABJM theory: Fermi gas expansions and new defect CFT data
• D=3 N=6 superconformal symmetry of AdS_4 x CP^3 superstring
• Deconstructing Supersymmetric S-matrices in D <= 2 + 1
• Yangian Symmetry in Five Dimensions
• Perturbative Methods for Superconformal Quantum Field Theories in String - Gauge Theory Dualities
• Hidden Local and Non-local Symmetries of S-matrices of N=2,4,8 SYM in D=2+1
• Symplectic Grassmannians, dual conformal symmetry and 4-point amplitudes in 6D
• A note on scattering amplitudes on the moduli space of ABJM