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 …

We discuss the generalized Newton–Cartan geometries that can serve as gravitational
background fields for particles and strings. In order to enable us to define affine connections …

We present non-and ultra-relativistic Jackiw–Teitelboim (JT) supergravity as metric BF
theories based on the extended Newton–Hooke and extended AdS Carroll superalgebras in …

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 …

A bstract We present a method of contraction that can be applied to re-construct the recent
extended non-relativistic and ultra-relativistic algebras as well as corresponding action …

We present a supersymmetric extension of the exotic Newtonian Chern–Simons gravity
theory in three spacetime dimensions. The underlying new non-relativistic superalgebra is …

We give an overview of the different non-Lorentzian supergravity theories in diverse
dimensions that have been constructed in recent years. After giving a detailed discussion of …

A bstract In this work, we classify all extended and generalized kinematical Lie algebras that
can be obtained by expanding the\(\mathfrak {so}\)(2, 2) algebra. We show that the Lie …

In this paper we present a torsional non-relativi-stic Chern–Simons (super) gravity theory in
three spacetime dimensions. We start by developing the non-relativistic limit of the purely …

The Moore-Read state is one of the most well-known non-Abelian fractional quantum Hall
states. It supports non-Abelian Ising anyons in the bulk and a chiral bosonic and chiral …