Higher dimensional Chern-Simons supergravity

Details Higher dimensional Chern-Simons supergravity Higher dimensional Chern-Simons supergravity

1996-01-03

arxiv.org/abs/gr-qc/9601003v1

Phys.Rev. D54 (1996) 2605-2611

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Revtex, 8 pages (two column format)

Scientific paper

10.1103/PhysRevD.54.2605

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 Poincar\'e group. In $2+1$ dimensions the gauge group reduces to super-Poincar\'e, while for $D=5$ it is super-Poincar\'e 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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