Bonus scaling and BCFW in N=7 supergravity

TL;DR

This paper develops a BCFW representation for N=7 supergravity that exhibits improved large momentum scaling by leveraging bonus relations, offering insights into amplitude structures.

Contribution

It introduces a novel BCFW expansion in N=7 supergravity that naturally incorporates bonus relations, enhancing scaling behavior compared to N=8.

Findings

Achieves z^-2 large momentum scaling in N=7 supergravity

Demonstrates automatic inclusion of bonus relations in the expansion

Provides a new perspective on supergravity amplitude structures

Abstract

In search of natural building blocks for supergravity amplitudes, a tentative criteria is term-by-term bonus z^-2 large momentum scaling. For a given choice of deformation legs, we present such an expansion in the form of a BCFW representation in N=7 supergravity based on a special shift. We will show that this improved scaling behavior, with respect to the fully N=8 representation, is due to its automatic incorporation of the so called bonus relations.