The Carroll group was originally introduced by Lévy-Leblond (1965 Ann. Inst. Henri
Poincaré 3 1) by considering the contraction of the Poincaré group as c→ 0. In this paper an …

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We construct a'stringy'version of Newton–Cartan gravity in which the concept of a Galilean
observer plays a central role. We present both the geodesic equations of motion for a …

A cosmological extension of the Eisenhart–Duval metric is constructed by incorporating a
cosmic scale factor and the energy-momentum tensor into the scheme. The dynamics of the …

A bstract In this paper, we present novel and known non-relativistic and ultra-relativistic spin-
3 algebras, by considering the Lie algebra expansion method. We start by applying the …

A bstract In this work we present an alternative method to construct diverse non-relativistic
Chern-Simons supergravity theories in three spacetime dimensions. To this end, we apply …

Kinematic algebras can be realised on geometric spaces and constrain the physical models
that can live on these spaces. Different types of kinematic algebras exist and we consider …

We consider Schrödinger equations for a nonrelativistic particle obeying an N+ 1-th order
higher derivative classical equation of motion. These equations are invariant under N (odd) …

We give a review of some group-theoretical results related to nonrelativistic holography. Our
main playgrounds are the Schrödinger equation and the Schrödinger algebra. We first recall …

A bstract We show that an extended 3D Schrödinger algebra introduced in [1] can be
reformulated as a 3D Poincaré algebra extended with an SO (2) R-symmetry generator and …