Abstract “Do Carroll particles move?” The answer depends on the characteristics of the
particle such as its mass, spin, electric charge, and magnetic moment. A massive Carroll …

A bstract We classify and relate unitary irreducible representations (UIRs) of the Carroll and
dipole groups, ie, we define elementary quantum Carroll and fracton particles and establish …

A bstract We exploit the close relationship between the Carroll and fracton/dipole algebras,
together with the method of coadjoint orbits, to define and classify classical Carroll and …

Despite the absence of a lightcone structure, some solutions of Carroll gravity show black
hole-like behaviour. We define Carroll black holes as solutions of Carroll gravity that exhibit …

Using effective field theory methods, we derive the Carrollian analog of the geodesic action.
We find that it contains both “electric” and “magnetic” contributions that are in general …

Adopting an intrinsic Carrollian viewpoint, we show that the generic Carrollian scalar field
action is a combination of electric and magnetic actions, found in the literature by taking the …

A bstract Carrollian field theories have recently emerged as a candidate dual to flat space
quantum gravity. We carefully quantize simple two-derivative Carrollian theories, revealing a …

In theories with conserved dipole moment, isolated charged particles (fractons) are
immobile, but dipoles can move. We couple these dipoles to the fracton gauge theory and …

Using carefully chosen projections, we consider different Carroll limits of relativistic Dirac
fermions in any spacetime dimensions. These limits define Carroll fermions of two types …

We present effective field theories for dipole symmetric topological matters that can be
described by the Chern-Simons theory. Unlike most studies using higher-rank gauge theory …