Abstract
A comprehensive review of supergravity in eleven dimensions is presented with particular emphasis on the seven-sphere compactification. The complete mass spectrum and its Osp(8,4) content are exhibited and discussed. We conclude with some speculative remarks about the effects of quantum gravity.
On leave from theUniversité Libre de Bruxelles, Campus Plaine, CP225, Boulevard du Triomphe, B-1050 Bruxelles, Belgique.
Supported in part by the Belgian State under the contract A.R.C. 79/83-12.
Invited Contribution to the XII International Colloquium on Group Theoretical Methods in Physics, Trieste (1983).
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D. Volkov and V.P. Akulov — Phys.Letters 46B (1973) 109
J. Wess and B. Zumino — Nuclear Phys. B70 (1974) 39.
J. Wess and B. Zumino — Phys.Letters 49B (1974) 52
J. Iliopoulos and B. Zumino — Nuclear Phys. B76 (1974) 310.
S. Ferrara, D.Z. Freedman and P. van Nieuwenhuizen — Phys.Rev. D13 (1976) 3214
S. Deser and B. Zumino — Phys.Letters 62B (1976) 335.
A. Salam and J. Strathdee — Nuclear Phys. B80 (1974) 499
D.Z. Freedman-in “Recent Developments in Gravitation”, Cargèse 1978, eds.
M. Levy and S. Deser(Plenum Press, 1979).
J. Scherk — same as last reference in 4).
E. Cremmer, B. Julia and J. Scherk — Phys.Letters 76B (1978) 409.
E. Cremmer and B. Julia — Phys.Letters 80B (1978) 48; Nuclear Phys. B159 (1979) 141.
W. Nahm — Nuclear Phys. B135 (1978) 149.
Th. Kaluza — Sitzungsber.Preuss.Akad.Wiss. K1 (1921) 966
O. Klein — Z.Phys. 37 (1926) 895.
B. De Witt — Dynamical Theory of Groups and Fields (Gordon and Breach, New York, 1965)
R. Kerner — Ann.Inst. H. Poincaré 9 (1968) 143
A. Trautmann — Rep.Math.Phys. 1 (1970) 29
Y.M. Cho and P.G.O. Freund — Phys.Rev. D12 (1975) 1711
C. Orzalesi — Fortschr.Phys. 29 (1981) 413).
A. Salam and J. Strathdee — Ann.Phys. 141 (1982) 316.
E. Witten — Nuclear Phys. B186 (1981) 412.
M.J. Duff-in “Supergravity '81”, eds. S. Ferrara and J.G. Taylor (Cambridge University Press, 1982)
M.J. Duff and D.J. Toms — in “Unification of the Fundamental Interactions II”, eds. S. Ferrara and J. Ellis (Plenum Press, 1982).
E. Cremmer and J. Scherk — Nuclear Phys. B103 (1976) 399.
P.G.O. Freund and M.A. Rubin — Phys.Letters 97B (1980) 233.
F. Englert, M. Rooman and P. Spindel — Phys.Letters 127B (1983) 47.
B. Biran, B. de Wit, F. Englert and H. Nicolai — Phys.Letters 124B (1983) 45.
B. de Wit and H. Nicolai — Phys.Letters 108B (1981) 285; Nuclear Phys. B208 (1982) 323.
M.J. Duff and C.N. Pope — in “Supersymmetry and Supergravity '82”, eds. S. Ferrara, J.G. Taylor and P. van Nieuwenhuizen (World Scient.Pub.Comp., 1983).
P.G.O. Freund, CERN Preprint TH.3655 (1983).
M.A. Awada, M.J. Duff and C.N. Pope — Phys.Rev.Letters 50 (1983) 294.
F.A. Bais, H. Nicolai and P. van Nieuwenhuizen — Nuclear Phys. B228 (1983) 333.
L. Castellani, R. D'Auria and P. Fré — Torino Preprint IFTT427 (1983).
M.J. Duff, B.E. Nilsson and C.N. Pope — “Compactification of d=11 Supergravity on K3xT3”, Texas University Preprint (1983).
M. Günaydin and F. Gürsey — J.Math.Phys. 14 (1973) 1651.
M. Rooman — “Eleven-Dimensional Supergravity, and Octonions”, Preprint Universite Libre de Bruxelles (1983).
E. Cartan and J. Schouten — Proc.Kon.Akad.Wet. Amsterdam 29 (1926) 933.
F. Englert — Phys.Letters 119B (1982) 339.
R. D'Auria, P. Fre and P. van Nieuwenhuizen — Phys.Letters 122B (1983) 225.
B. de Wit and H. Nicolai — Preprint NIKHEF-H/83-8 (1983).
F. Englert, M. Rooman and P. Spindel — “Symmetries in Eleven-Dimensional Supergravity Compactified on a Parallelized Seven Sphere”, Preprint Université Libre de Bruxelles (1983), to appear in Phys.Letters B.
L. Castellani and N.P. Warner — Preprint CALT-68-1033 (1983).
J. Lukierski and P. Minaert — Preprint Universite de Bordeaux I (1983).
M.J. Duff — in the Proceedings of the Marcel Grossmann Meeting, Shanghai (1982), to appear.
M.J. Duff, B.E.W. Nilsson and C.N. Pope — Phys.Rev.Letters 50 (1983) 2043.
N.P. Warner — Preprint CALT-68-1008 (1983).
B. Biran, A. Casher, F. Englert, M. Rooman and P. Spindel — ”The Fluctuating Seven Sphere in Eleven Dimensional Supergravity”, Preprint University Libre de Bruxelles (1983).
A. Casher, F. Englert, H. Nicolai and M. Rooman — in preparation.
S. Gallot and D. Meyer — J.Math. Pures et Appliquées 54 (1975) 259
G.W. Gibbons and M.J. Perry — Nuclear Phys. B146 (1978) 90.
S. Deser and R. Nepomechie — “Gauge Invariance Versus Masslessness in de Sitter Space”, Preprint Brandeis University (1983).
R. D'Auria and P. Fre — Phys.Letters 121B (1983) 141.
D.Z. Freedman and H. Nicolai — “Multiplet Shortening in Osp(N,4)”, MIT Preprint (1983).
M. Günaydin — in Proceedings of the XI International Colloquium on Group Theoretical Methods in Physics, Istanbul (1982). Lecture Notes in Physics 180 (Springer Verlag)
I. Bars and M. Günaydin — CERN Preprint TH. 3350 (1983), to appear in Commun. Math.Phys.
R. Slansky — Physics Reports C79 (1981) 1.
W. Heidenreich — Phys.Letters 110B (1982) 461.
P. Breitenlohner and D.Z. Freedman — Phys.Letters 115E (1982) 197; Ann.Phys. 144 (1982) 249.
G.W. Gibbons, C.M. Hull and N.P. Warner — Nuclear Phys. B218 (1983) 173.
E. Witten — in Proceedings of the Shelter Island II Conference, to appear.
C. Wetterich — Nuclear Phys. B223 (1983) 109.
S.W. Hawking — in General Relativity, eds. S.W. Hawking and W. Israel (Cambridge University Press, 1979) and references therein.
A. Casher and F. Englert — Phys.Letters 104B (1981) 117.
S. Weinberg — “Gravitation and Cosmology”, J. Wiley (1972).
R. Brout, F. Englert and E. Günzig — Gen.Rel.Grav. 10 (1979) 1.
R. Brout, F. Englert and P. Spindel — Phys.Rev.Letters 43 (1979) 417.
A. Guth — Phys.Rev. D23 (1981) 347.
A. Linde — Phys.Letters 108B (1982) 389.
S.W. Hawking — Nuclear Phys. B144 (1978) 349.
P. Mandelbrot — “Fractals, Form, Chance and Dimension”, Freeman (San Francisco, 1977).
H. Nicolai, P. Townsend and P. van Nieuwenhuizen — Lettere al Nuovo Cimento 30 (1981) 315.
C. Destri, C.A. Orzalesi and P. Rossi — Ann.Phys. 147 (1983) 147
M.J. Duff and C.A. Orzalesi — Phys.Letters 122B (1983) 37
C.A. Orzalesi — CERN Preprint TH. 3647 (1983)
C.A. Orzalesi and G. Venturi — CERN Preprint TH. 3648 (1983).
P. van Baal, F.A. Bais and P. van Nieuwenhuizen, Utrecht preprint
P. van Baal and F.A Bais, Utrecht preprint
L. Castellani, R.D'Auria, P. Fre and P. van Nieuwenhuizen, Utrecht preprint
L. Castellani, R. D'Auria and P. Fré, in “Supersymmetry and Supergravity '83”, proc. 19th Winter School of Theoretical Physics, Karpacz, ed. B. Milewski (World Scientific)
M.J. Duff, B.E.W. Nilssan and C.N. Pope, Imperial College preprint ICTP/82-83/29
B. de Wit, preprint NIKHEF-H/83-18
P. van Nieuwenhuizen, Les Houches Lecture Notes, to appear.
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Englert, F., Nicolai, H. (1984). Supergravity in eleven-dimensional space-time. In: Denardo, G., Ghirardi, G., Weber, T. (eds) Group Theoretical Methods in Physics. Lecture Notes in Physics, vol 201. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0016152
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DOI: https://doi.org/10.1007/BFb0016152
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