Constructing Carrollian CFTs

Understand

We construct classical theories for scalar fields in arbitrary Carroll spacetimes that are invariant under Carrollian diffeomorphisms and Weyl transformations.

• When the local symmetries are gauge fixed these theories become Carrollian conformal field theories.
• We show that generically there are at least two types of such theories: one in which only time derivatives of the fields appear and the other in which both space and time derivatives appear.
• A classification of such scalar field theories in three (and higher) dimensions up to two derivative order is provided.