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Journal of Mathematical Physics / Volume 32 / Issue 1

J. Math. Phys. 32, 239 (1991); http://dx.doi.org/10.1063/1.529124 (8 pages)

Extended supergravity: Chern–Simons theories in 2+1 dimensions

K. Koehler, F. Mansouri, Cenalo Vaz, and L. Witten

Department of Physics, University of Cincinnati, Cincinnati, Ohio 45221

(Received 20 April 1990; accepted 18 July 1990)

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.

KEYWORDS and PACS

Keywords

ALGEBRAS, SUPERGRAVITY, DE SITTER GROUP, THREE−DIMENSIONAL CALCULATIONS, COSMOLOGICAL CONSTANT, FIELD THEORIES, GAUGE INVARIANCE, POINCARE GROUPS, LIE GROUPS, SUPERSYMMETRY, CONFORMAL INVARIANCE

PACS

ARTICLE DATA

Digital Object Identifier
http://dx.doi.org/10.1063/1.529124

PUBLICATION DATA

ISSN

0022-2488 (print)  
1089-7658 (online)

For access to fully linked references, you need to log in.
    P. S. Howe and R. W. Tucker, J. Math. Phys. 19, 869 (1978JMAPAQ000019000004000869000001).

    P. Van Nieuwenhuizen, Phys. Rev. D 32, 872 (1985)., M. Rocek and P. Van Nieuwenhuizen, Classical Quant. Gravit. 3, 43 (1986).

    S. W. Macdowell and F. Mansouri, Phys. Rev. Lett. 38, 739 (1977)
    F. Mansouri, Phys. Rev. D 16, 2456 (1977).



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