Description
Abstract: Teleparallel gravity is an alternative theory of gravity known to be considered equivalent to General Relativity. However, they are conceptually quite different. In particular, the teleparallel formulation of gravity is described by a vanishing curvature and a non-vanishing torsion. In that case, the geometry is no longer Riemannian but corresponds to the so-called Riemann-Cartan geometry. In this talk, I will present a gauge-invariant three-dimensional teleparallel supergravity theory using the Chern-Simons (CS) formalism. The construction is based on a supersymmetric extension of a particular deformation of the Poincaré algebra. At the bosonic level the theory describes a non-Riemannian geometry with a non-vanishing torsion. I will also present a Maxwellian generalization of the teleparallel gravity, allowing to introduce a non-vanishing torsion to the Maxwell CS gravity. The non-relativistic version of the teleparallel CS (super)gravity theory will also be discussed.
