Dual Superconformal Symmetry of N=6 Chern-Simons Theory

Abstract

We demonstrate that the four and six-point tree-level amplitudes of N=6 superconformal Chern-Simons theory (ABJM) enjoy OSp(6|4) dual superconformal symmetry if one enlarges the dual superspace to include three additional Grassmann-even coordinates which correspond to an abelian isometry of CP3. The inclusion of these coordinates enables us to match the nontrivial dual superconformal generators with level-one Yangian generators when acting on on-shell amplitudes. We also discuss some implications of dual conformal symmetry for loop-level amplitudes.

arXiv comment32 pages; v3: minor changes, published in JHEP

References in corpus (41)

• Gauge Theory Correlators from Non-Critical String Theory
• The Large N Limit of Superconformal Field Theories and Supergravity
• N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals
• Direct Proof Of Tree-Level Recursion Relation In Yang-Mills Theory
• The Bethe-Ansatz for N=4 Super Yang-Mills
• One-Loop n-Point Gauge Theory Amplitudes, Unitarity and Collinear Limits
• Perturbative Gauge Theory As A String Theory In Twistor Space
• Fusing Gauge Theory Tree Amplitudes Into Loop Amplitudes
• New Recursion Relations for Tree Amplitudes of Gluons
• Gluon scattering amplitudes at strong coupling
• The Dilatation Operator of Conformal N=4 Super Yang-Mills Theory
• Dual superconformal symmetry of scattering amplitudes in N=4 super-Yang-Mills theory
• MHV Amplitudes in N=4 Super Yang-Mills and Wilson Loops
• Magic identities for conformal four-point integrals
• On planar gluon amplitudes/Wilson loops duality
• Yangian symmetry of scattering amplitudes in N=4 super Yang-Mills theory
• Fermionic T-Duality, Dual Superconformal Symmetry, and the Amplitude/Wilson Loop Connection
• 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 all loop AdS4/CFT3 Bethe ansatz
• Quantum spinning strings in AdS_4 x CP^3: testing the Bethe Ansatz proposal
• Semiclassical Quantization of Spinning Strings in AdS_4 x CP^3
• Spinning strings at one-loop in AdS_4 x P^3
• N = 8 Superconformal Chern--Simons Theories
• Integrable Spin Chain in Superconformal Chern-Simons Theory
• Yangians, Grassmannians and T-duality
• 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
• Kaluza-Klein Consistency, Killing Vectors, and Kahler Spaces
• Scattering in Mass-Deformed N>=4 Chern-Simons Models
• Simplifying superstring and D-brane actions in AdS(4) x CP(3) superbackground
• Comment on the Scaling Function in AdS4 x CP3
• Amplitudes of 3D and 6D Maximal Superconformal Theories in Supertwistor Space
• On Integrable Backgrounds Self-dual under Fermionic T-duality
• Light-like polygonal Wilson loops in 3d Chern-Simons and ABJM theory
• Generalized Dynamical Spin Chain and 4-Loop Integrability in N=6 Superconformal Chern-Simons Theory
• One-Loop Corrections to Type IIA String Theory in AdS4 x CP3
• First-quantized N=4 Yang-Mills

Cited by in corpus (56)

• Tree-level Recursion Relation and Dual Superconformal Symmetry of the ABJM Theory
• Dual Conformal Properties of Six-Dimensional Maximal Super Yang-Mills Amplitudes
• BPS Wilson loops and Bremsstrahlung function in ABJ(M): a two loop analysis
• ABJM amplitudes and the positive orthogonal grassmannian
• On-shell superamplitudes in N<4 SYM
• Simple superamplitudes in higher dimensions
• 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
• 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
• From Correlators to Wilson Loops in Chern-Simons Matter Theories
• 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
• Exact Superconformal and Yangian Symmetry of Scattering Amplitudes
• A new integral formula for supersymmetric scattering amplitudes in three dimensions
• Equivalence of Wilson Loops in ABJM and N = 4 SYM Theory
• The orthogonal momentum amplituhedron and ABJM amplitudes
• Light-like Wilson loops in ABJM and maximal transcendentality
• Two-loop Sudakov Form Factor in ABJM
• All-Loop Four-Point Aharony-Bergman-Jafferis-Maldacena Amplitudes from Dimensional Reduction of the Amplituhedron
• Non-planarity through unitarity in ABJM
• Fermionic T-duality in the pp-wave limit
• Supersymmetry and Mass Gap in 2+1 Dimensions: A Gauge Invariant Hamiltonian Analysis
• A Requiem for $Ad{S}_4\times \mathbb{C}{P}^3$ Fermionic self-T-duality
• Bosonic Symmetries of $(2,0)$ DLCQ Field Theories
• Integrated negative geometries in ABJM
• T-Duality of Green-Schwarz Superstrings on AdS(d) x S(d) x M(10-2d)
• Positroid Stratification of Orthogonal Grassmannian and ABJM Amplitudes
• Self-duality of the D1-D5 near-horizon
• ABJM amplitudes and WL at finite N
• Real fermionic symmetry in type II supergravity
• Minitwistors and 3d Yang-Mills-Higgs theory
• Four-point amplitudes in $\mathcal{N}=2$ SCQCD
• The two-loop eight-point amplitude in ABJM theory
• Peculiarities of String Theory on AdS(4) x CP(3)
• $\mathcal{N}=7$ On-Shell Diagrams and Supergravity Amplitudes in Momentum Twistor Space
• Fermionic T-Duality of $Ad{S}_n\times S^n(\times S^n)\times T^m$ using IIA Supergravity
• ABJM Amplitudes in U-gauge and a Soft Theorem
• 6d Dual Conformal Symmetry and Minimal Volumes in AdS
• 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
• Wilson loops in N=6 superspace for ABJM theory
• ABJM flux-tube and scattering amplitudes
• Deconstructing Supersymmetric S-matrices in D <= 2 + 1
• Yangian Symmetry in Five Dimensions
• 6D dual superconformal algebra
• Symplectic Grassmannians, dual conformal symmetry and 4-point amplitudes in 6D
• Splitting of Folded Strings in AdS_4*CP^3
• The Aharony-Bergman-Jafferis-Maldacena theory on a circle