Extended Super BMS Algebra of Celestial CFT

Understand

We study two-dimensional celestial conformal field theory describing four-dimensional ${\cal N}=1$ supergravity/Yang-Mills systems and show that the underlying symmetry is a supersymmetric generalization of BMS symmetry.

• We construct fermionic conformal primary wave functions and show how they are related via supersymmetry to their bosonic partners.
• We use soft and collinear theorems of supersymmetric Einstein-Yang-Mills theory to derive the OPEs of the operators associated to massless particles.
• The bosonic and fermionic soft theorems are shown to form a sequence under supersymmetric Ward identities.