Geodesic
Algebraic method of constructing and analyzing spontaneous compactification models
Teoretičeskaâ i matematičeskaâ fizika, Tome 66 (1986) no. 2, pp. 206-215 Cet article a éte moissonné depuis la source Math-Net.Ru

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A method is proposed for determining the ground-state symmetry superalgebra in Kaluza–Klein models. It is used to construct and investigate solutions of 11-dimensional supergravity with the sphere $S^7$ as internal manifold. The possible supersymmetry numbers for an arbitrary internal manifold are found. 
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D. V. Vassilevich; V. D. Lyakhovsky. Algebraic method of constructing and analyzing spontaneous compactification models. Teoretičeskaâ i matematičeskaâ fizika, Tome 66 (1986) no. 2, pp. 206-215. http://geodesic.mathdoc.fr/item/TMF_1986_66_2_a4/

[1] Kalutsa T., Albert Einshtein i teoriya gravitatsii, Mir, M., 1979, 529–534 | MR

[2] Sherk Dzh., Geometricheskie idei v fizike, Mir, M., 1983, 203–239 | MR

[3] Cremmer E., Julia B., Nucl. Phys., B159:1–2 (1979), 141–212 | DOI | MR

[4] Biran B., Englert F., de Witt B., Nicolai H., Gauged $N=8$ supergravity and its breaking from spontaneous compactification, Preprint TH. 3489 - CERN, CERN, Geneva, 1982 | MR

[5] Nicolai H., Recent developmeents in $N=8$ supergravity, Preprint TH. 3543 - CERN, CERN, Geneva, 1983 | MR

[6] D'Auria R., Fre P., van Nieuwenhuizen P., Symmetry breaking in $d-11$ supergravity on the parallelized seven-sphere, Preprint TH. 3453 - CERN, CERN, Geneva, 1982 | MR

[7] Duff M. J., Nilsson B. E. W., Pope C. N., Nucl. Phys., B233:3 (1984), 433–456 | DOI | MR | Zbl

[8] Bais F. A., Nicolai H., van Nieuwenhuizen P., Geometry of coset spaces and massless modes of the squashed seven-sphere in supergravity, Preprint TH. 3577 - CERN, CERN, Geneva, 1983 | MR

[9] Castellani L., Warner N. P., The $SO(7)$ symmetry of $d=11$ supergravity on the parallelized seven-sphere, Preprint CALT-68-1033, CALT, Pasadena, 1983 | MR

[10] Englert F., Phys. Lett., 119B:4; 5; 6 (1982), 339–341 | DOI | MR

[11] Nijenhuis A., Richardson R. W., Bull. Amer. Math. Soc., 72 (1966), 1–29 ; 73 (1967), 175–179 | DOI | MR | Zbl | DOI | MR | Zbl

[12] Liakhovski V. D., Ann. Inst. Henri Poincare, XVII:2 (1972), 119–129 | MR | Zbl

[13] Van Proeyen A., Quantization and auxiliary fields in 11 dimensions, Preprint TH. 3201 - CERN, CERN, Geneva, 1981 | MR

[14] Inonu E., Wigner E. P., Proc. Nat. Acad. Sci., 39 (1953), 510–524 | DOI | MR | Zbl

[15] Friedman M. H., Srivastava Y., Einstein equations, supersymmetry and flat limits of curved superspace, Preprint NUB 2353, Northeastern University, Boston, 1978 | Zbl

[16] Morel B., $Osp(4\mid N)$ induced representation and $S^7$-compactification, Preprint CALT-68-1105, CALT, Pasadena, 1984 | Zbl

[17] Levy-Nahas M., Sur les deformations et contractions d'algebres de Lie et de leurs representations, Preprint de l'universite de Paris A499, Orsay, 1969

[18] Coquereaux R., Comments about Riemanian geometry, Einstein spaces. Kaluza - Klein, 11-dimensional supergravity, and all that, Preprint TH. 3639 - CERN, CERN, Geneva, 1983 | MR

[19] Veinberg S., Gravitatsiya i kosmologiya, Mir, M., 1975

[20] Coppersmith D., Deformations of Lie groups and Lie algebras, Harvard University preprint, Cambridge, 1977 | MR

[21] Salam A., Strathdee J., On Kaluza - Klein theory, Preprint IC/81/211, ICTP, Trieste, 1981 | MR

[22] Behrends R. E., Dreitlein J., Fronsdal C., Lee W., Rev. Mod. Phys., 34:1 (1962), 1–40 | DOI | MR | Zbl

[23] Freund P. G. O., Four-dimensional supergravity from eleven-dimensional supergravity, Preprint TH. 3655 - CERN, CERN, Geneva, 1983 | MR