Geodesic
Gauge fields in mechanisms of spontaneous compactification of subspaces
Teoretičeskaâ i matematičeskaâ fizika, Tome 56 (1983) no. 2, pp. 171-179 
D. V. Volkov; D. P. Sorokin; V. I. Tkach. Gauge fields in mechanisms of spontaneous compactification of subspaces. Teoretičeskaâ i matematičeskaâ fizika, Tome 56 (1983) no. 2, pp. 171-179. http://geodesic.mathdoc.fr/item/TMF_1983_56_2_a1/
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     title = {Gauge fields in mechanisms of spontaneous compactification of subspaces},
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     pages = {171--179},
     year = {1983},
     volume = {56},
     number = {2},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1983_56_2_a1/}
}
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It is shown that in the Cremmer–Scherk mechanism in spontaneous compaetifieation into the homogeneous spaces $G/H$ not all the gauge fields participate effectively but only the gauge fields of the subgroup $H$. The additional components of the gauge fields of the group $G$ can be eliminated by a gauge transformation that belongs to the group $G$. After the elimination of these additional gauge fields the Cremmer–Scherk mechanism of spontaneous eompactification reduces to the mechanism determined by associating the gauge fields with the $H$ connections on the spaces $G/H$.

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

[2] Cremmer E., Scherk J., Nucl. Phys., B118:1/2 (1977), 61–75 | DOI | MR

[3] Luciani T. F., Nucl. Phys., B135:1 (1978), 111–130 | DOI | MR

[4] Volkov D. V., Tkach V. I., Pisma v ZhETF, 32:11 (1980), 681–684

[5] Volkov D. V., Tkach V. I., TMF, 51:2 (1982), 171–180 | MR

[6] Randjbar-Daemi S., Percacci R., Spontaneous compactification of a $(4+d)$ -dimensional Kaluza-Klein theory into $M_4\times G/H$ for arbitrary $G$ and $H$, Preprint IC/82/50, Trieste, Italy, 1982 | MR

[7] Harváth Z., Palla L., Nucl. Phys., B142:3 (1978), 327–343 | DOI

[8] Volkov D. V., Tkach V. I., TMF, 20:2 (1974), 160–169