1996/01/03 by Máximo Bañados, Maximo Banados, Ricardo Troncoso +1 · 1 citation
Mathematics · Physics and Astronomy · #Antisymmetric relation #Antisymmetric tensor #Black Holes and Theoretical Physics #Central charge #Charge (physics) #Chern–Simons theory #Conformal map #Cosmology and Gravitation Theories #Gauge theory #Group (periodic table) #Lorentz transformation #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Physics #Quantum mechanics #Rank (graph theory) #Supergravity #Supergroup #Supersymmetry #gr-qc
paper · pdf · doi:10.1103/physrevd.54.2605
published as Phys.Rev. D54 (1996) 2605-2611 · Revtex, 8 pages (two column format)
arxiv created 1996/01/03 · openalex publication_date 1996/08/15 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
A Chern-Simons action for supergravity in odd-dimensional spacetimes is proposed. For all odd dimensions, the local symmetry group is a nontrivial 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 one-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.