Conformally Coupled Scalars, Instantons and Vacuum Instability in AdS_4

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dc.creatorde Haro, Sebastian
dc.creatorPapadimitriou, Ioannis
dc.creatorPetkou, Anastasios C.
dc.date2006-11-29
dc.date2007-05-06
dc.date.accessioned2026-07-07T10:37:58Z
dc.date.available2026-07-07T10:37:58Z
dc.descriptionWe show that a scalar field conformally coupled to AdS gravity in four dimensions with a quartic self-interaction can be embedded into M-theory. The holographic effective potential is exactly calculated, allowing us to study non-perturbatively the stability of AdS_4 in the presence of the conformally coupled scalar. It is shown that there exists a one-parameter family of conformal scalar boundary conditions for which the boundary theory has an unstable vacuum. In this case, the bulk theory has instanton solutions that mediate the decay of the AdS_4 space. These results match nicely with the vacuum structure and the existence of instantons in an effective three-dimensional boundary model.
dc.description4 pages, 1 figure; v2 clarifying comments about the holographic effective action added; v3 minor corrections. Version to appear in PRL
dc.identifierhttps://arxiv.org/abs/hep-th/0611315
dc.identifierhttp://arxiv.org/abs/hep-th/0611315
dc.identifierPhys.Rev.Lett.98:231601,2007
dc.identifierdoi:10.1103/PhysRevLett.98.231601
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/180561
dc.subjectHigh Energy Physics - Theory
dc.subjectGeneral Relativity and Quantum Cosmology
dc.titleConformally Coupled Scalars, Instantons and Vacuum Instability in AdS_4
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