Supersymmetric celestial OPEs and soft algebras from the ambitwistor string worldsheet

TL;DR

This paper uses the ambitwistor string to derive complete celestial OPE coefficients for supersymmetric theories, extending previous bosonic results and analyzing the structure of soft algebras in these theories.

Contribution

It provides explicit formulas for supersymmetric celestial OPEs and explores the behavior of soft algebras in supersymmetric contexts, filling a gap in the literature.

Findings

Complete list of celestial OPE coefficients for supersymmetric theories.

Explicit formulas for maximally supersymmetric gauge, gravity, and Einstein-Yang-Mills theories.

Analysis of supersymmetric soft algebra structures.

Abstract

Using the ambitwistor string, we complete the list of celestial OPE coefficients for supersymmetric theories. This uses the ambitwistor string worldsheet CFT to dynamically generate the OPE coefficients for maximally supersymmetric gauge theory, gravity and Einstein-Yang-Mills theories, including all helicity and orientation configurations. This extends previous purely bosonic results to include supersymmetry and provides explicit formulas which are, to the best of our knowledge, not in the literature. We also examine how the supersymmetric infinite dimensional soft algebras behave compared to the purely bosonic cases.