N $$ mathcal{N} $$ = 7 On-shell diagrams and supergravity amplitudes in momentum twistor space

N $$ mathcal{N} $$ = 7 On-shell diagrams and supergravity amplitudes in momentum twistor space

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Abstract We derive an on-shell diagram recursion for tree-level scattering amplitudes in N $$ mathcal{N} $$ = 7 supergravity.The Sex Toy Kits 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 N $$ mathcal{N} $$ = 7 R-invariants analogous to those of N $$ mathcal{N} $$ = 4 super-Yang-Mills, which makes cancellation of spurious poles more transparent.

Above 5-points, this requires defining momentum Golf Bags twistors with respect to different orderings of the external momenta.