Abstract
The requirement of integrability in all light-like superplanes yields the proper kinematical constraints for the three-dimensional supergravity theory formulated in superspace. The theory with the Breitenlohner set of auxiliary fields is obtained.
Similar content being viewed by others
References
D.Z. Freedman, P. van Nieuwenhuizen, S. Ferrara: Phys. Rev.D13, 3214 (1976)
S. Deser, B. Zumino: Phys. Lett.62B, 335 (1976)
J. Wess, B. Zumino: Phys. Lett.66B, 361 (1977); Phys. Lett.74B, 51 (1978)
R. Grimm, J. Wess, B. Zumino; Phys. Lett.73B, 415 (1978)
L. Brink, M. Gell-Mann, P. Ramond, J.H. Schwarz: Phys. Lett.74B, 336 (1978); ibid. L. Brink, M. Gell-Mann, P. Ramond, J.H. Schwarz: Phys. Lett.76B, 417 (1978)
M. Gell-Mann, P. Ramond and J.H. Schwarz: Caltech preprint CALT-68-677
R. Arnowitt, P. Nath; Phys. Lett.78B, 581 (1978)
W. Siegel, Nucl. Phys.B142, 30 (1978)
Y. Ne'eman, T. Regge: Phys. Lett.74B, 54 (1978)
J.G. Taylor:ibid.78B, 577 (1978)
J. Crispim-Romão, A. Ferber, P.G.O. Freund: Nucl. Phys.B182 45 (1981)
P. Britenlohner: Phys. Lett.67B, 49 (1977); Nucl. Phys.B124, 500 (1977)
R.L. Bishop, R.J. Crittenden: Geometry of manifolds, p.94. New York, London: Academic Press 1964
M. Brown, S.J. Gates Jr.: An. Phys. (USA)122, 443 (1979)
S.J. Gates Jr.: Harvard preprint HUTP 78/A028
E. Cremmer, B. Julia: Phys. Lett.80B (1978); Nucl. Phys.B159, 141 (1979)
S.S. Chang: Phys. Rev.D14, 446 (1976)
J. Wess, B. Zumino: Nucl. Phys.B8, 1 (1974)
Author information
Authors and Affiliations
Additional information
Work supported in part by the Swiss National Science Foundation
Rights and permissions
About this article
Cite this article
Crispim-Romão, J. Superplane integrability and three dimensional supergravity. Z. Phys. C - Particles and Fields 10, 17–21 (1981). https://doi.org/10.1007/BF01545779
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01545779