Geodesic
Gauge fields in mechanisms of spontaneous compactification of subspaces
Teoretičeskaâ i matematičeskaâ fizika, Tome 56 (1983) no. 2, pp. 171-179

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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 $G/H$. 
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     author = {D. V. Volkov and D. P. Sorokin and V. I. Tkach},
     title = {Gauge fields in mechanisms of spontaneous compactification of subspaces},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {171--179},
     publisher = {mathdoc},
     volume = {56},
     number = {2},
     year = {1983},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1983_56_2_a1/}
}
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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/