$\boldsymbol{{\rm AdS}_3}$ Recursion Relations, Double Copy and $\boldsymbol{{\rm CFT}_2}$ Ward Identities

We consider correlation functions of massless fields in three-dimensional Anti-de Sitter spacetime. Using embedding-space spinors akin to spinor helicity variables, we show that masslessness implies holomorphicity. We perform a deformation of the spinors, analogous to the BCFW shift for flat-space a