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We describe a novel twistorial construction of the asymptotic BMS symmetriesat null infinity for asymptotically flat spacetimes. We define BMS twistors asspinor solutions to some set of components of the usual spacetime twistorequation restricted to null infinity. The space of BMS twistors isinfinite-dimensional. We show that given two BMS twistors their symmetrictensor product can be used to generate (complex) vector fields which are theinfinitesimal BMS symmetries of null infinity. In this sense BMS twistors are"square roots" of BMS symmetries. We also show that these BMS twistor equationscan be written a pair of covariant spinor-valued equations which are completelydetermined by the intrinsic universal structure of null infinity.

A twistorial description of BMS symmetries at null infinity