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arXiv · gr-qc/9601003

Higher dimensional Chern-Simons supergravity

Maximo Banados·Ricardo Troncoso·Jorge Zanelli
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Abstract

A Chern-Simons action for supergravity in odd-dimensional spacetimes is proposed. For all odd dimensions, the local symmetry group is a non trivial supersymmetric extension of the Poincaré group. In $2+1$ dimensions the gauge group reduces to super-Poincaré, while for $D=5$ it is super-Poincaré with a central charge. In general, the extension is obtained by the addition of a 1-form field which transforms as an antisymmetric fifth-rank tensor under Lorentz rotations. Since the Lagrangian is a Chern-Simons density for the supergroup, the supersymmetry algebra closes off shell without the need of auxiliary fields.

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Maximo Banados, Ricardo Troncoso, Jorge Zanelli. 1996-01-03. Higher dimensional Chern-Simons supergravity. https://doi.org/10.1103/physrevd.54.2605

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