A bstract We study various aspects of the Carroll limit in which the speed of light is sent to
zero. A large part of this paper is devoted to the quantization of Carroll field theories. We …

A bstract We consider Carroll-invariant limits of Lorentz-invariant field theories. We show that
just as in the case of electromagnetism, there are two inequivalent limits, one “electric” and …

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 construct various limits of JT gravity, including Newton-Cartan and Carrollian
versions of dilaton gravity in two dimensions as well as a theory on the three-dimensional …

We discuss three different (conformally) Carrollian geometries and their relation to null
infinity from the unifying perspective of Cartan geometry. Null infinity per se comes with …

A bstract We discuss a gauging procedure that allows us to construct lagrangians that
dictate the dynamics of an underlying Cartan geometry. In a sense to be made precise in the …

We study the small speed of light expansion of general relativity, utilizing the modern
perspective on non-Lorentzian geometry. This is an expansion around the ultra-local Carroll …

A bstract We show that the geometry of the asymptotic infinities of Minkowski spacetime (in
d+ 1 dimensions) is captured by homogeneous spaces of the Poincaré group: the blow-ups …

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 …