D=4 Einstein gravity from higher D CS and BI gravity and an alternative to dimensional reduction

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dc.creatorNastase, Horatiu
dc.date2007-03-05
dc.date2007-03-30
dc.date.accessioned2026-07-07T07:54:51Z
dc.date.available2026-07-07T07:54:51Z
dc.descriptionAn alternative to usual dimensional reduction for gravity is analyzed, in the vielbein-spin connection formulation. Usual 4d Einstein gravity plus a topological term (the "Born-Infeld" Lagrangian for gravity), is shown to be obtained by a generalized dimensional reduction from 5d Chern-Simons gravity. Chern-Simons gravity in d=2n+1 is dimensionally reduced to CS gravity in d=2n-1 via a mechanism similar to descent equations. The consistency of the dimensional reduction in both cases is analyzed. The dimensional reduction of d=2n+2 Born-Infeld gravity to d=2n BI gravity, as well as d=2n BI gravity to d=2n-1 CS gravity is hard to achieve. Thus 4d gravity (plus a topological term) can be embedded into d=2n+1 CS gravity, including 11d CS, whose supersymmetric version could possibly be related to usual 11d supergravity. This raises the hope that maybe 4d quantum Einstein gravity could be embedded in a well defined quantum theory, similar to Witten's treatment of 3d quantum Einstein gravity as a CS theory.
dc.description16 pages, latex, no figures; references added
dc.identifierhttps://arxiv.org/abs/hep-th/0703034
dc.identifierhttp://arxiv.org/abs/hep-th/0703034
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/126769
dc.subjectHigh Energy Physics - Theory
dc.subjectGeneral Relativity and Quantum Cosmology
dc.titleD=4 Einstein gravity from higher D CS and BI gravity and an alternative to dimensional reduction
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