Supersymmetric celestial OPEs and soft algebras from the ambitwistor string worldsheet

Abstract

Using the ambitwistor string, we complete the list of celestial operator product expansion (OPE) coefficients for supersymmetric theories. This uses the ambitwistor string worldsheet conformal field theory to dynamically generate the OPE coefficients for maximally supersymmetric gauge theory, as well as gravity and Einstein-Yang-Mills theories, including all helicity and orientation configurations. This extends previous purely bosonic results [T. Adamo et al., arXiv:2111.02279] 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.