Spontaneous Supersymmetry Breaking by the Squashed Seven-Sphere

Physics

Scientific paper

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Gravity In More Than Four Dimensions, Kaluza-Klein Theory, Unified Field Theories, Alternative Theories Of Gravity, Supersymmetry

Scientific paper

Spontaneous compactification of d=11 supergravity on the squashed seven-sphere (S7) yields a spontaneously broken phase of the N=8 theory on the round S7 with SO(8) broken to SO(5) ⊗ SU(2) and with N=1 or N=0 supersymmetry according as the squashing is left or right handed. A feature unique to Kaluza-Klein supergravity is that the massless gravitino of the N=1 phase comes from a massive N=8 supermultiplet, as do the Higgs scalars. A solution is found with squashing and torsion but only in the right-squashed (N=0) case.

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