Conformal Carrollian spin-3 gravity in 3D

Abstract

We consider the ultrarelativistic limit of the spin-2 and spin-3 conformal gravity theories in three dimensions, which leads to conformal Carrollian spin-2 gravity and its spin-3 analog. We also comment on the generalization of the result to arbitrary spin. The holographic examples show generalization in comparison with nonconformal Carrollian gravity.