Spontaneous compactification and nonassociativity

Details Spontaneous compactification and nonassociativity Spontaneous compactification and nonassociativity

2009-12-09

arxiv.org/abs/0912.1729v1

Phys.Rev.D80:124009,2009

Physics

High Energy Physics

High Energy Physics - Theory

17 pages, LaTeX, no figures

Scientific paper

10.1103/PhysRevD.80.124009

We consider the Freund-Rubin-Englert mechanism of compactification of N=1 supergravity in 11 dimensions. We systematically investigate both well-known and some new solutions of the classical equations of motion in 11 dimensions. In particular, we show that any threeform potential in 11 dimension is given locally by the structure constants of a geodesic loop in an affinely connected space.

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