Symmetries of the celestial supersphere

Abstract

We study the celestial CFT dual to theories with bulk supersymmetry. The boundary theory realizes supersymmetry in the spirit of the Green–Schwarz superstring: there is manifest 4d super-Poincaré symmetry, but no 2d superconformal symmetry. Nevertheless, we can extend the celestial sphere itself to a supermanifold—the celestial supersphere. This provides a unified framework for describing key features of celestial holography, including conformally soft theorems, OPEs, and chiral soft algebras. Using these tools, we demonstrate that the algebra extends to a novel algebra. We also relate the supersymmetric algebra to Hamiltonian vector fields on , consistent with the expectation from twistor theory, and deduce the deformation of this algebra by a cosmological constant, Λ. These results are all universal and independent of the specific details of the underlying theory.