Constructing Carrollian CFTs

A bstract We construct classical theories for scalar fields in arbitrary Carroll spacetimes that are invariant under Carrollian diffeomorphisms and Weyl transformations. When the local symmetries gauge fixed these become conformal field theories. show generically there at least two types of such theories: one which only time derivatives appear other both space appear. classification three (and higher) dimensions up to derivative order is provided. a special case our arises ultra-relativistic limit covariant parent theory.