Eur. Phys. J. C (2004) 35: 429-435
https://doi.org/10.1140/epjc/s2004-01862-9

theoretical physics

Supergravity in (2 + 1) dimensionsfrom (3 + 1)-dimensional supergravity

Departamento de Física, Universidad de Concepción, Casilla 160-C, Concepción, Chile

^* e-mail: pasalgad@udec.cl

Received: 20 June 2003
Published online: 3 June 2004

Abstract

In the context of the formalism proposed by Stelle-West and Grignani-Nardelli, it is shown that Chern-Simons supergravity can be consistently obtained as a dimensional reduction of (3 + 1)-dimensional supergravity, when written as a gauge theory of the Poincaré group. The dimensional reductions are consistent with the gauge symmetries, mapping (3 + 1)-dimensional Poincaré supergroup gauge transformations onto (2 + 1)-dimensional Poincaré supergroup ones.