Extended Supergravity {Chern-Simons} Theories in (2+1)-dimensions

May 28, 1990
24 pages
Published in:
  • J.Math.Phys. 32 (1991) 239-246
Report number:
  • Print-90-0315 (CINCINNATI)

Citations per year

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Abstract: (AIP)
In this paper de Sitter supergravity theories in 2+1 dimensions with positive cosmological constant as Chern–Simons gauge theories of the algebra OSp(M‖2;C) are constructed. Starting from anti‐de Sitter supergravity theories based on OSp(M‖2;R)×OSp(M‖2;R) algebras, a particular Inonu–Wigner contraction is used to construct a large class of super Poincaré supergravity theories with nontrivial internal symmetries. Other models based on algebras SL(M‖N) and the exceptional super Lie algebras are also discussed. The classical consistency of our de Sitter supergravity theories is discussed.
  • supergravity
  • gauge field theory: OSp(M|2)
  • Chern-Simons term
  • dimension: 3
  • stability