$\mathcal{N}=7$ On-Shell Diagrams and Supergravity Amplitudes in Momentum Twistor Space

Abstract

We derive an on-shell diagram recursion for tree-level scattering amplitudes in $\mathcal{N}=7$ supergravity. The diagrams are evaluated in terms of Grassmannian integrals and momentum twistors, generalising previous results of Hodges in momentum twistor space to non-MHV amplitudes. In particular, we recast five and six-point NMHV amplitudes in terms of $\mathcal{N}=7$ R-invariants analogous to those of $\mathcal{N}=4$ super-Yang-Mills, which makes cancellation of spurious poles more transparent. Above 5-points, this requires defining momentum twistors with respect to different orderings of the external momenta.

arXiv commentv2. minor changes, published in JHEP

References in corpus (49)

• 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
• The Amplituhedron
• What is the Simplest Quantum Field Theory?
• MHV Amplitudes in N=4 Super Yang-Mills and Wilson Loops
• Magic identities for conformal four-point integrals
• The All-Loop Integrand For Scattering Amplitudes in Planar N=4 SYM
• Local Integrals for Planar Scattering Amplitudes
• On planar gluon amplitudes/Wilson loops duality
• A Duality For The S Matrix
• Dual Superconformal Invariance, Momentum Twistors and Grassmannians
• The Complete Planar S-matrix of N=4 SYM as a Wilson Loop in Twistor Space
• A note on dual superconformal symmetry of the N=4 super Yang-Mills S-matrix
• Conformal Supergravity in Twistor-String Theory
• Notes on the scattering amplitude / Wilson loop duality
• Ambitwistor strings in 4-dimensions
• Unification of Residues and Grassmannian Dualities
• Unwinding the Amplituhedron in Binary
• 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
• A Note on Polytopes for Scattering Amplitudes
• Dual Superconformal Symmetry of N=6 Chern-Simons Theory
• On-shell superamplitudes in N<4 SYM
• On BCFW shifts of integrands and integrals
• Conformal and Einstein gravity from twistor actions
• Gravity On-shell Diagrams
• Unraveling conformal gravity amplitudes
• Four-point Amplitudes in N=8 Supergravity and Wilson Loops
• Tree-Level Amplitudes in N=8 Supergravity
• From the Holomorphic Wilson Loop to `d log' Loop-Integrands of Super-Yang-Mills Amplitudes
• From dlogs to dilogs; the super Yang-Mills MHV amplitude revisited
• Stratifying On-Shell Cluster Varieties: the Geometry of Non-Planar On-Shell Diagrams
• On-Shell Diagrams for N = 8 Supergravity Amplitudes
• Prescriptive Unitarity for Non-Planar Six-Particle Amplitudes at Two Loops
• Einstein supergravity amplitudes from twistor-string theory
• Conformal Supergravity Tree Amplitudes from Open Twistor String Theory
• The Next-to-Simplest Quantum Field Theories
• From 4d Ambitwistor Strings to On Shell Diagrams and Back
• A Grassmannian Etude in NMHV Minors
• Positive geometry, local triangulations, and the dual of the Amplituhedron
• Propagators, BCFW Recursion and New Scattering Equations at One Loop
• Positive Geometries and Differential Forms with Non-Logarithmic Singularities I
• Amplituhedra, and Beyond
• On-shell diagrams and the geometry of planar N < 4 SYM theories
• Note on Bonus Relations for N=8 Supergravity Tree Amplitudes
• A Monte Carlo Approach to the 4D Scattering Equations
• New Worldsheet Formulae for Conformal Supergravity Amplitudes
• Bonus scaling and BCFW in N=7 supergravity

Cited by in corpus (5)

• The SAGEX Review on Scattering Amplitudes, Chapter 7: Positive Geometry of Scattering Amplitudes
• Towards the Gravituhedron: New Expressions for NMHV Gravity Amplitudes
• Non-planar BCFW Grassmannian Geometries
• Poles At Infinity in On-shell Diagrams
• Symplectic Grassmannians, dual conformal symmetry and 4-point amplitudes in 6D