Conformal invariant powers of the Laplacian, Fefferman-Graham ambient metric and Ricci gauging

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dc.creatorManvelyan, Ruben
dc.creatorMkrtchyan, Karapet
dc.creatorMkrtchyan, Ruben
dc.date2007-07-12
dc.date2007-10-10
dc.date.accessioned2026-07-07T10:56:41Z
dc.date.available2026-07-07T10:56:41Z
dc.descriptionThe hierarchy of conformally invariant k-th powers of the Laplacian acting on a scalar field with scaling dimensions $Δ_{(k)}=k-d/2$, k=1,2,3 as obtained in the recent work [1] is rederived using the Fefferman-Graham d+2 dimensional ambient space approach. The corresponding mysterious "holographic" structure of these operators is clarified. We explore also the d+2 dimensional ambient space origin of the Ricci gauging procedure proposed by A. Iorio, L. O'Raifeartaigh, I. Sachs and C. Wiesendanger as another method of constructing the Weyl invariant Lagrangians. The corresponding \emph{gauged} ambient metric, Fefferman-Graham expansion and extended Penrose-Brown-Henneaux transformations are proposed and analyzed.
dc.description15 pages, Latex, v.2 references added, v.3 ref. added, to appear in Phys. Lett. B
dc.identifierhttps://arxiv.org/abs/0707.1737
dc.identifierhttp://arxiv.org/abs/0707.1737
dc.identifierPhys.Lett.B657:112-119,2007
dc.identifierdoi:10.1016/j.physletb.2007.10.014
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/186495
dc.subjectHigh Energy Physics - Theory
dc.titleConformal invariant powers of the Laplacian, Fefferman-Graham ambient metric and Ricci gauging
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