General relativity from threeforms in seven dimensionsTools Krasnov, Kirill (2017) General relativity from threeforms in seven dimensions. Physics Letters B, 772 . pp. 300305. ISSN 18732445
AbstractWe consider a certain theory of 3forms in 7 dimensions, and study its dimensional reduction to 4D, compactifying the 7dimensional manifold on the 3sphere of a fixed radius. We show that the resulting 4D theory is (Riemannian) General Relativity (GR) in Plebanski formulation, modulo corrections that are negligible for curvatures smaller than Planckian. Possibly the most interesting point of this construction is that the dimensionally reduced theory is GR with a nonzero cosmological constant, and the value of the cosmological constant is directly related to the size of . Realistic values of Λ correspond to of Planck size.
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