Chiral Squaring

TL;DR

This paper constructs N=4 super-Yang-Mills states from N=1 chiral multiplets, extends the framework to higher dimensions, and explores applications to scattering amplitudes, providing a novel perspective on supersymmetric theories.

Contribution

It introduces a new method to build N=4 super-Yang-Mills and N=8 supergravity states from chiral multiplets, extending the approach to higher dimensions.

Findings

Maximal N=8 supergravity can be represented as four copies of a chiral multiplet.

The construction applies to higher-dimensional theories.

Applications to scattering amplitude calculations are discussed.

Abstract

We construct the states and symmetries of N = 4 super-Yang-Mills by tensoring two N = 1 chiral multiplets and introducing two extra SUSY generators. This allows us to write the maximal N = 8 supergravity as four copies of the chiral multiplet. We extend this to higher dimensions and discuss applications to scattering amplitudes.