Gauged diffeomorphisms and hidden symmetries in Kaluza-Klein theories

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dc.creatorHohm, Olaf
dc.date2006-11-30
dc.date2007-05-11
dc.date.accessioned2026-07-07T11:23:19Z
dc.date.available2026-07-07T11:23:19Z
dc.descriptionWe analyze the symmetries that are realized on the massive Kaluza-Klein modes in generic D-dimensional backgrounds with three non-compact directions. For this we construct the unbroken phase given by the decompactification limit, in which the higher Kaluza-Klein modes are massless. The latter admits an infinite-dimensional extension of the three-dimensional diffeomorphism group as local symmetry and, moreover, a current algebra associated to SL(D-2,R) together with the diffeomorphism algebra of the internal manifold as global symmetries. It is shown that the `broken phase' can be reconstructed by gauging a certain subgroup of the global symmetries. This deforms the three-dimensional diffeomorphisms to a gauged version, and it is shown that they can be governed by a Chern-Simons theory, which unifies the spin-2 modes with the Kaluza-Klein vectors. This provides a reformulation of D-dimensional Einstein gravity, in which the physical degrees of freedom are described by the scalars of a gauged non-linear sigma model based on SL(D-2,R)/SO(D-2), while the metric appears in a purely topological Chern-Simons form.
dc.description23 pages, minor changes, v3: published version
dc.identifierhttps://arxiv.org/abs/hep-th/0611347
dc.identifierhttp://arxiv.org/abs/hep-th/0611347
dc.identifierClass.Quant.Grav.24:2825-2844,2007
dc.identifierdoi:10.1088/0264-9381/24/11/004
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/194853
dc.subjectHigh Energy Physics - Theory
dc.titleGauged diffeomorphisms and hidden symmetries in Kaluza-Klein theories
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