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General relativity from three-forms in seven dimensions

Krasnov, Kirill


Professor of Mathematical Sciences


We consider a certain theory of 3-forms in 7 dimensions, and study its dimensional reduction to 4D, compactifying the 7-dimensional manifold on the 3-sphere 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 non-zero cosmological constant, and the value of the cosmological constant is directly related to the size of . Realistic values of ? correspond to of Planck size.


Krasnov, K. (2017). General relativity from three-forms in seven dimensions. Physics Letters B, 772,

Journal Article Type Article
Acceptance Date Jun 9, 2017
Online Publication Date Jun 29, 2017
Publication Date Sep 10, 2017
Deposit Date Aug 9, 2017
Publicly Available Date Aug 9, 2017
Journal Physics Letters B
Print ISSN 0370-2693
Electronic ISSN 1873-2445
Publisher Elsevier
Peer Reviewed Peer Reviewed
Volume 772
Public URL
Publisher URL


GR_from_3Forms.pdf (276 Kb)

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