Supergravity in (2 + 1) dimensionsfrom (3 + 1)-dimensional supergravity
Departamento de Física, Universidad de Concepción, Casilla 160-C, Concepción, Chile
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Published online: 3 June 2004
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.
© Springer-Verlag, 2004