Supergravity, the seven-sphere, and spontaneous symmetry breaking

Details Supergravity, the seven-sphere, and spontaneous symmetry breaking Supergravity, the seven-sphere, and spontaneous symmetry breaking

Jun 1983

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1983nuphb.219..389d&link_type=abstract

Nuclear Physics B, Volume 219, Issue 2, p. 389-411.

Physics

Nuclear Physics

71

Scientific paper

N = 1 supergravity in d = 11 dimensions spontaneously compactifies on S7 to an N = 8 supergravity in d = 4 with a local SO(8) × SO(8) invariance, probably enlargeable to SO(8) × SU(8). Apart from group manifolds, S7 is the only compact manifold to admit an absolute parallelism. This permits (a) a ``squashing'' of S7 which gives expectation values to the scalar fields and (b) a parallelizing ``torsion'' which gives expectation values to the pseudoscalars. This correspondence between extrema of the d = 4 effective potential and solutions of the d = 11 field equations provides a Kaluza-Klein origin for the spontaneous breakdown of gauge symmetries, discrete symmetries, and supersymmetries. It also puts a new perspective on the puzzle of the cosmological constant.
On leave from the Blackett Laboratory, Imperial College, London, Great Britain.

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