# Supersymmetric S-matrices from the worldsheet in 10 and 11d

## TL;DR

This paper derives compact, manifestly supersymmetric formulas for tree-level super-amplitudes in 10 and 11-dimensional supergravity, super Yang-Mills, and Born-Infeld theories using polarised scattering equations and ambitwistor string models.

## Contribution

It introduces a new framework based on polarised scattering equations that generalizes previous twistorial ambitwistor string formulae to higher dimensions, capturing maximal supersymmetry.

## Key findings

- Compact formulae for super-amplitudes in 10 and 11 dimensions.
- Extension of twistorial ambitwistor string methods to higher dimensions.
- Manifestation of maximal supersymmetry in amplitude expressions.

## Abstract

We obtain compact formulae for tree super-amplitudes for 10 and 11-dimensional supergravity and 10-dimensional supersymmetric Yang-Mills and Born-Infeld. These are based on the \emph{polarised scattering equations}. These incorporate polarization data into a spinor field on the Riemann sphere and arise from a twistorial representation of ambitwistor strings in 10 and 11 dimensions. They naturally extend amplitude formulae to manifest maximal supersymmetry. The framework is the natural generalization of twistorial ambitwistor string formulae found previously in four and six dimensions and is informally motivated from a vertex operator prescription for a family of supersymmetric worldsheet ambitwistor string models.