Universal Features of Dimensional Reduction Schemes from General Covariance Breaking

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dc.creatorMaraner, Paolo
dc.creatorPachos, Jiannis K.
dc.date2007-04-16
dc.date2007-10-14
dc.date.accessioned2026-07-07T11:41:00Z
dc.date.available2026-07-07T11:41:00Z
dc.descriptionMany features of dimensional reduction schemes are determined by the breaking of higher dimensional general covariance associated with the selection of a particular subset of coordinates. By investigating residual covariance we introduce lower dimensional tensors --generalizing to one side Kaluza-Klein gauge fields and to the other side extrinsic curvature and torsion of embedded spaces-- fully characterizing the geometry of dimensional reduction. We obtain general formulas for the reduction of the main tensors and operators of Riemannian geometry. In particular, we provide what is probably the maximal possible generalization of Gauss, Codazzi and Ricci equations and various other standard formulas in Kaluza-Klein and embedded spacetimes theories. After general covariance breaking, part of the residual covariance is perceived by effective lower dimensional observers as an infinite dimensional gauge group. This reduces to finite dimensions in Kaluza-Klein and other few remarkable backgrounds, all characterized by the vanishing of appropriate lower dimensional tensors.
dc.description16 pages, no figures, references added
dc.identifierhttps://arxiv.org/abs/0704.2076
dc.identifierhttp://arxiv.org/abs/0704.2076
dc.identifierAnnalsPhys.323:2044-2072,2008
dc.identifierdoi:10.1016/j.aop.2007.11.004
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/200387
dc.subjectHigh Energy Physics - Theory
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectMathematical Physics
dc.subjectDifferential Geometry
dc.subjectQuantum Physics
dc.titleUniversal Features of Dimensional Reduction Schemes from General Covariance Breaking
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