Holographic chiral algebra: supersymmetry, infinite Ward identities, and EFTs

Celestial holography promisingly reformulates the scattering amplitude holographically in terms of celestial conformal field theory living at null infinity. Recently, an infinite-dimensional symmetry algebra was discovered Einstein-Yang-Mills theory. The starting point derivation is OPE two soft currents, and key ingredient summation $\overline{SL(2,\mathbb R)}$ descendants OPE. In this paper, we consider supersymmetric obtain extension holographic algebra. Furthermore, derive infinitely many Ward identities associated with infinite currents which generate This realized by considering between a current hard operator, then summing over its descendants. These reproduce known corresponding to leading, sub-leading, sub-sub-leading graviton theorems as well leading sub-leading gluon theorems. By performing shadow transformations, also identities, including stress tensor for graviton. Finally, use our procedure discuss corrections effective (EFT), order photon. For aim, general formulae arising from cubic interaction three spinning massless particles. Our formalism thus provides unified framework understanding theory, or equivalently amplitude.