Recent years have seen sensible progress in the elaboration of a holographic description of gravity in asymptotically-flat spacetimes. The project aims to contribute to this progress within the promising context of higher-spin theories. The latter extend Einstein’s gravity by the addition of infinitely-many particles of spin greater than two. This apparent additional complication is however accompanied by an enhancement of the symmetries involved in the duality. In the AdS/CFT setup, higher-spin symmetries bring about a remarkable simplification of the holographic duals compared to those associated to “simpler” gravitational models. Strong indications that a similar setup can be established also for asymptotically-flat spacetimes emerged very recently. My research aims at turning them into concrete duality maps between suitable “bulk” higher-spin theories in Minkowski space and the simplest examples of Carrollian field theories defined on null infinity.

Carrollian field theories are field theories invariant under the Carroll group, which is obtained through a group contraction of the Poincaré group in the limit of vanishing speed of light. During my stay, I intend to study the global symmetries of simple fermionic Carrollian field theories. This will allow to select the best candidates for the boundary side of our holographic correspondence.