Abstract
We prove the Grassmann valued system of extended supergravityN=1,d=11 proposed by Cremmer and Julia is well proposed and causal.
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Bao, D., Isenberg, J., Yasskin, P.: The dynamics of the Einstein-Dirac system (to appear)
Choquet-Bruhat, Y.: The Cauchy problem in classical supergravity. Lett. Math. Phys.7, 459–467 (1983)
Choquet-Bruhat, Y.: The Cauchy problem. In: Gravitation, an introduction to current research, Witten, L. (ed.). New York: Wiley 1962
Choquet-Bruhat, Y.: Diagonalisation des systèmes quasilinéaires et hyperbolicité non stricte. J. Maths Pures Appl.45, 371–386 (1966)
Choquet-Bruhat, Y., Christodoulou, D., Francaviglia, M.: Cauchy data on a manifold. Ann. Inst. Henri Poincaré A t.29, 241 (1978)
Cremmer, E., Julia, B., Sherk, J.: Supergravity, theory in 11 dimensions. Phys. Lett.76 B, 409–411 (1978)
Cremmer, E., Julia, B.: The SO(8) supergravity. Nucl. Phys. B159, 141–212 (1979)
Deser, S., Zumino, B.: Consistent supergravity. Phys. Lett.62 B, 335–337 (1976)
Deser, S., Zumino, B.: Broken supersymmetry and supergravity. Phys. Rev. Lett.38, 1433–1436 (1977)
DeWitt, B.: Dynamical theory of groups and fields. New York: Gordon and Breach 1965
DeWitt, B., Van Nieuwenhuisen, P., West, P.: Supermanifolds and supersymmetry (in preparation)
Duff, M.J.: Supergravity, the seven-sphere and spontaneous symmetry breaking. Nucl. Phys. B219, 389–411 (1983)
Englert, F.: CERN preprint TH 3394 (1982)
Freedman, D.Z., Van Nieuwenhuisen, P., Ferrara, S.: Progress towards a theory of supergravity. Phys. Rev. D13, 3214–3218 (1976)
Freund, P.G.O., Rubin, M.A.: Dynamics of dimensional reduction. Phys. Lett.97 B, 233 (1980)
Hughes, T., Kato, T., Marsden, J.: Well posed quasi linear second order hyperbolic systems. Arch. Rat. Mech.63, 273–294 (1977)
Kerner, R.: Generalization of the Kaluza-Klein theory for an arbitrary non-abelian gauge theory. Ann. Inst. Henri Poincaré9, 143–152 (1968)
Van Nieuwenhuisen, P.: Supergravity. Lecture Notes les Houches 1983 (to appear, North-Holland)
Witten, E.: Search for a realistic Kaluza-Klein theory. Nucl. Phys. B186, 412–428 (1981)
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Communicated by S.-T. Yau
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Choquet-Bruhat, Y. The Cauchy problem in extended supergravity,N=1,d=11. Commun.Math. Phys. 97, 541–552 (1985). https://doi.org/10.1007/BF01221216
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DOI: https://doi.org/10.1007/BF01221216