Abstract
A general analysis of all possible super-extensions of anti-de Sitter and de Sitter algebrasO(3, 2) andO(4, 1) is presented. It is shown that actions with de Sitter local supersymmetry exist, but contain vector-ghosts.
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Lukierski, J., Nowicki, A.: Supersymmetry in the presence of positive cosmological constant. Univ. of Wrocław preprint 609, 1984
MacDowell, S.W., Mansouri, F.: Unified geometric theory of gravity and supergravity. Phys. Rev. Lett.38, 739 (1977)
Townsend, P.K., van Nieuwenhuizen, P.: Geometrical interpretation of extended supergravity. Phys. Lett.67 B, 439 (1977)
Tomboulis, E.T.: Unitarity in higher derivative quantum gravity. Preprint UCLA/83/TEP/18 (1983)
Haag, R., Łopuszański, J.T., Sohnius, M.: All possible generators of supersymmetries of theS-matrix. Nucl. Phys. B88, 257 (1975)
Kac, V.: A sketch of Lie superalgebra theory. Commun. Math. Phys.53, 31 (1977)
Gilmore, R.: Lie groups, Lie algebras and some of their applications. p. 187. New York: John Wiley 1974
Ferrara, S., van Nieuwenhuizen, P.: Consistent supergravity with complex spin-3/2 gauge fields. Phys. Rev. Lett.37, 1669 (1976)
Das, A., Freedman, D.Z.: Gauge quantization for spin-3/2 fields. Nucl. Phys. B114, 271 (1976)
Fradkin, E.S., Vasiliev, M.A.: Lebedev Inst. preprint N 197, 1976
van Nieuwenhuizen, P.: Supergravity. Phys. Rep. C68, 189 (1981)
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Communicated by S. W. Hawking
Supported in part by the NSF under grant PHY 81-09110 A-01
On leave from the Institute of Theoretical Physics, University of Wrocław, Wrocław, Poland
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Pilch, K., van Nieuwenhuizen, P. & Sohnius, M.F. De Sitter superalgebras and supergravity. Commun.Math. Phys. 98, 105–117 (1985). https://doi.org/10.1007/BF01211046
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DOI: https://doi.org/10.1007/BF01211046