Simple superamplitudes in higher dimensions

TL;DR

This paper introduces simplified superspaces in even dimensions using spinor helicity, providing elegant formulas for superamplitudes in higher-dimensional super Yang-Mills and supergravity theories, and discusses recursion relations.

Contribution

It presents a new formulation of superspaces with fermionic delta functions, enabling straightforward computation of superamplitudes in higher dimensions.

Findings

Explicit superamplitude formulas in 8D super Yang-Mills

Superamplitudes in 10D supergravity

Discussion of three-point kinematics and recursion relations

Abstract

We provide simple superspaces based on a formulation of spinor helicity in general even dimensions. As a distinguishing feature these spaces admit a fermionic super-momentum conserving delta function solution to the on-shell supersymmetry Ward identities. Using these solutions, we present beautifully simple formulae for the complete three, four and five point superamplitudes in maximal super Yang-Mills theory in eight dimensions, and for the three and four point superamplitudes in ten dimensional type IIB supergravity. In addition, we discuss the exceptional kinematics of the three point amplitude, and the supersymmetric spinorial BCFW recursion, in general dimensions.