Conformal Anomaly for Amplitudes in N=6 Superconformal Chern-Simons Theory

Abstract

Scattering amplitudes in three-dimensional N=6 Chern-Simons theory are shown to be non-invariant with respect to the free representation of the osp(6|4) symmetry generators. At tree and one-loop level these "anomalous" terms occur only for non-generic, singular configurations of the external momenta and can be used to determine the form of the amplitudes. In particular we show that the symmetries predict that the one-loop six-point amplitude is non-vanishing and confirm this by means of an explicit calculation using generalized unitarity methods. We comment on the implications of this finding for any putative Wilson loop/amplitude duality in N=6 Chern-Simons theory.

29 pages, 9 figures, 1 table; v2: made section 4 more rigorous, minor improvements, references added; v3: added comment and reference on normalization, published in J.Phys.A

References in corpus (19)

• 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
• The Complete Planar S-matrix of N=4 SYM as a Wilson Loop in Twistor Space
• Dual Superconformal Symmetry from AdS5 x S5 Superstring Integrability
• A note on dual superconformal symmetry of the N=4 super Yang-Mills S-matrix
• Notes on the scattering amplitude / Wilson loop duality
• Exacting N=4 Superconformal Symmetry
• One-Loop Superconformal and Yangian Symmetries of Scattering Amplitudes in N=4 Super Yang-Mills
• 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
• 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
• Symmetries of the N=4 SYM S-matrix
• Null Polygonal Wilson Loops in Full N=4 Superspace

Cited by in corpus (12)

• One Loop Amplitudes In ABJM
• 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
• Integrated negative geometries in ABJM
• The two-loop six-point amplitude in ABJM theory
• Crossing Symmetry in Matter Chern-Simons Theories at finite $N$ and $k$
• The two-loop eight-point amplitude in ABJM theory
• Four-point amplitudes in $\mathcal{N}=2$ SCQCD
• BPS Wilson loops in mass-deformed ABJM theory: Fermi gas expansions and new defect CFT data
• 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