Geodesic
Rescaling of the metric, invariant operators, and spontaneous compactification
Teoretičeskaâ i matematičeskaâ fizika, Tome 77 (1988) no. 1, pp. 88-96 Cet article a éte moissonné depuis la source Math-Net.Ru

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A criterion for enlargement of the symmetry of a $G$-invariant metric on $G/H$ to the symmetry of a $G'$-invariant metric on $G'/H'$ is formulated and proved. The complete set of vacuum solutions of $d=11$ supergravity on $S^7$ and the spectrum of the Laplace–Beltrami operator for each of the solutions are obtained. The degeneracy of the spectrum of the invariant operators resulting from rescaling with symmetry enlargement is investigated. 
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     title = {Rescaling of the metric, invariant operators, and spontaneous compactification},
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D. V. Vassilevich; V. D. Lyakhovsky; N. N. Shtykov. Rescaling of the metric, invariant operators, and spontaneous compactification. Teoretičeskaâ i matematičeskaâ fizika, Tome 77 (1988) no. 1, pp. 88-96. http://geodesic.mathdoc.fr/item/TMF_1988_77_1_a7/

[1] Castellani L., Romans L. J., Warner N. P., Ann. Phys., 157:2 (1984), 394–408 | DOI | MR

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

[3] Vasilevich D. V., YaF, 45:1 (1987), 282–286 | MR

[4] Kobayasi Sh., Nomidzu K., Osnovy differentsialnoi geometrii, T. 2, Nauka, M., 1981 | MR

[5] Vasilevich D. V., Lyakhovskii V. D., TMF, 66:3 (1986), 350–359 | MR | Zbl

[6] Awada M. A., Duff M. J., Pope C. N., Phys. Rev. Lett., 50:5 (1983), 294–297 | DOI | MR

[7] Pope C. N., Warner N. P., Phys. Lett., 150B:5 (1985), 352–356 | DOI | MR

[8] Slansky R., Phys. Rep., 79:1 (1981), 1–128 | DOI | MR

[9] Duff M. J., Nilsson B. E. W., Pope C. N., Phys. Rev. Lett., 50:26 (1983), 2043–2047 | DOI | MR

[10] Page D. N., Phys. Rev., D28:12 (1985), 2976–2982 | MR

[11] Duff M. J., Nilsson B. E. W., Pope C. N., Phys. Rep., 130:1 (1986), 1–142 | DOI | MR

[12] Coquereaux R., Jadczyk A., Commun. Math. Phys., 98:1 (1985), 79–104 ; Glass. Quant. Grav., 3:1 (1986), 29–42 ; Consistency of the $G$-invariant Kaluza–Klein scheme, Preprint TH. 4305/85, CERN, Geneva, 1985 | DOI | MR | Zbl | DOI | MR | Zbl