On the stability and spectrum of non-supersymmetric AdS(5) solutions of M-theory compactified on Kahler-Einstein spaces

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dc.creatorMartin, Jonathan E.
dc.creatorReall, Harvey S.
dc.date2008-10-15
dc.date2009-02-19
dc.date.accessioned2026-07-07T12:56:45Z
dc.date.available2026-07-07T12:56:45Z
dc.descriptionEleven-dimensional supergravity admits non-supersymmetric solutions of the form AdS(5)xM(6) where M(6) is a positive Kahler-Einstein space. We show that the necessary and sufficient condition for such solutions to be stable against linearized bosonic supergravity perturbations can be expressed as a condition on the spectrum of the Laplacian acting on (1,1)-forms on M(6). For M(6)=CP(3), this condition is satisfied, although there are scalars saturating the Breitenlohner-Freedman bound. If M(6) is a product S(2)xM(4) (where M(4) is Kahler-Einstein) then there is an instability if M(4) has a continuous isometry. We show that a potential non-perturbative instability due to 5-brane nucleation does not occur. The bosonic Kaluza-Klein spectrum is determined in terms of eigenvalues of operators on M(6).
dc.description21 pages. v2: Includes SU(4) quantum numbers for CP3 case, typos fixed, refs added
dc.identifierhttps://arxiv.org/abs/0810.2707
dc.identifierhttp://arxiv.org/abs/0810.2707
dc.identifierJHEP 0903:002,2009
dc.identifierdoi:10.1088/1126-6708/2009/03/002
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/224693
dc.subjectHigh Energy Physics - Theory
dc.titleOn the stability and spectrum of non-supersymmetric AdS(5) solutions of M-theory compactified on Kahler-Einstein spaces
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