Conformally Coupled Scalars, Instantons and Vacuum Instability in AdS_4

Details Conformally Coupled Scalars, Instantons and Vacuum Instability in AdS_4 Conformally Coupled Scalars, Instantons and Vacuum Instability in AdS_4

2006-11-29

arxiv.org/abs/hep-th/0611315v3

Phys.Rev.Lett.98:231601,2007

Physics

High Energy Physics

High Energy Physics - Theory

4 pages, 1 figure; v2 clarifying comments about the holographic effective action added; v3 minor corrections. Version to appea

Scientific paper

10.1103/PhysRevLett.98.231601

We 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.

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