Higher-spin Chern-Simons theories in odd dimensions

dc.creatorEngquist, Johan
dc.creatorHohm, Olaf
dc.date2007-05-25
dc.date2007-07-17
dc.date.accessioned2026-07-07T10:55:50Z
dc.date.available2026-07-07T10:55:50Z
dc.descriptionWe construct consistent bosonic higher-spin gauge theories in odd dimensions D>3 based on Chern-Simons forms. The gauge groups are infinite-dimensional higher-spin extensions of the Anti-de Sitter groups SO(D-1,2). We propose an invariant tensor on these algebras, which is required for the definition of the Chern-Simons action. The latter contains the purely gravitational Chern-Simons theories constructed by Chamseddine, and so the entire theory describes a consistent coupling of higher-spin fields to a particular form of Lovelock gravity. It contains topological as well as non-topological phases. Focusing on D=5 we consider as an example for the latter an AdS_4 x S^1 Kaluza-Klein background. By solving the higher-spin torsion constraints in the case of a spin-3 field, we verify explicitly that the equations of motion reduce in the linearization to the compensator form of the Fronsdal equations on AdS_4.
dc.description29 pages, youngtab.sty; v2: references added, version to be published in Nuclear Physics B
dc.identifierhttps://arxiv.org/abs/0705.3714
dc.identifierhttp://arxiv.org/abs/0705.3714
dc.identifierNucl.Phys.B786:1-25,2007
dc.identifierdoi:10.1016/j.nuclphysb.2007.06.015
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/186209
dc.subjectHigh Energy Physics - Theory
dc.titleHigher-spin Chern-Simons theories in odd dimensions
dc.typetext

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