Extended Supergravities in $d$ = (2+1) as {Chern-Simons} Theories

Achucarro, A.; Townsend, P.K.

doi:10.1016/0370-2693(89)90423-1

Extended Supergravities in $d$ = (2+1) as {Chern-Simons} Theories

A. Achucarro
(
- Imperial Coll., London
)
,
P.K. Townsend
(
- Cambridge U.
)

Jul 25, 1989

5 pages

Published in:

Phys.Lett.B 229 (1989) 383-387

Published: 1989

DOI:

10.1016/0370-2693(89)90423-1

Report number:

PRINT-89-0627 (CAMBRIDGE)

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Abstract: (Elsevier)

We show that the N expected supergravity theories in d =2+1 dimensions can be expressed as Chern-Simons terms of the N -extended super-Poincaré group for any N , and discuss the connection with a previously proposed formulation of the (itp, q ) antide Sitter supergravity theories. This connection depends crucially on the fact that there are two distinct OSp (n|2; R ) superalgebras for n ≠0.

SUPERGRAVITY: THREE-DIMENSIONAL
FIELD THEORY: CHERN-SIMONS TERM
ALGEBRA: OSP(N/2)
SPACE-TIME: DE SITTER

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