General relativity from three-forms in seven dimensions

General relativity from three-forms in seven dimensions

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 th...

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Main Author: Kirill Krasnov
Format: Article
Language:English
Published: Elsevier 2017-09-01
Series:Physics Letters B
Online Access:http://www.sciencedirect.com/science/article/pii/S0370269317304926
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spelling doaj-30eea26e7f504ee0a9270a48c2b02a0b2020-11-24T21:04:10ZengElsevierPhysics Letters B0370-26931873-24452017-09-01772C30030510.1016/j.physletb.2017.06.025General relativity from three-forms in seven dimensionsKirill KrasnovWe 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 S3. Realistic values of Λ correspond to S3 of Planck size.http://www.sciencedirect.com/science/article/pii/S0370269317304926
collection DOAJ
language English
format Article
sources DOAJ
author Kirill Krasnov
spellingShingle Kirill Krasnov
General relativity from three-forms in seven dimensions
Physics Letters B
author_facet Kirill Krasnov
author_sort Kirill Krasnov
title General relativity from three-forms in seven dimensions
title_short General relativity from three-forms in seven dimensions
title_full General relativity from three-forms in seven dimensions
title_fullStr General relativity from three-forms in seven dimensions
title_full_unstemmed General relativity from three-forms in seven dimensions
title_sort general relativity from three-forms in seven dimensions
publisher Elsevier
series Physics Letters B
issn 0370-2693
1873-2445
publishDate 2017-09-01
description 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 S3. Realistic values of Λ correspond to S3 of Planck size.
url http://www.sciencedirect.com/science/article/pii/S0370269317304926
work_keys_str_mv AT kirillkrasnov generalrelativityfromthreeformsinsevendimensions
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