A new integral formula for supersymmetric scattering amplitudes in three dimensions

Abstract

We propose a new integral formula for all tree-level scattering amplitudes of N=6 supersymmetric Chern-Simons theory. It resembles the Roiban-Spradlin-Volovich-Witten formula for N=4 supersymmetric Yang-Mills theory based on a twistor string theory formulation. Our formula implies that the (2k)-point tree-level amplitude is closely related to degree (k-1) curves in CP^{k-1}.

4 pages; v2. references added

References in corpus (9)

• N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals
• New Relations for Gauge-Theory Amplitudes
• Yangian symmetry of scattering amplitudes in N=4 super Yang-Mills theory
• 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
• One Loop Amplitudes In ABJM
• The Grassmannian and the Twistor String: Connecting All Trees in N=4 SYM
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Cited by in corpus (18)

• Scattering Equations and KLT Orthogonality
• Ambitwistor strings and the scattering equations
• Scattering in Three Dimensions from Rational Maps
• Scattering Amplitudes
• ABJM amplitudes and the positive orthogonal grassmannian
• A note on amplitudes in N=6 superconformal Chern-Simons theory
• Grassmannians for scattering amplitudes in 4d $\mathcal{N}=4$ SYM and 3d ABJM
• On Three-Algebra and Bi-Fundamental Matter Amplitudes and Integrability of Supergravity
• Polynomial reduction and evaluation of tree- and loop-level CHY amplitudes
• The momentum amplituhedron of SYM and ABJM from twistor-string maps
• The orthogonal momentum amplituhedron and ABJM amplitudes
• The Scattering Variety
• Positroid Stratification of Orthogonal Grassmannian and ABJM Amplitudes
• The two-loop six-point amplitude in ABJM theory
• One-loop diagrams with quadratic propagators from the worldsheet
• ABJM Amplitudes in U-gauge and a Soft Theorem
• New Ambitwistor String Theories
• A twistor string for the ABJ(M) theory