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Conformally coupled scalars, instantons, and vacuum instability in 4D anti-de Sitter space.

Accepted version
Peer-reviewed

Type

Article

Change log

Authors

Papadimitriou, Ioannis  ORCID logo  https://orcid.org/0000-0001-5924-442X
Petkou, Anastasios C  ORCID logo  https://orcid.org/0000-0003-0283-1732

Abstract

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 nonperturbatively the stability of AdS4 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 AdS4 space. These results match nicely with the vacuum structure and the existence of instantons in an effective three-dimensional boundary model.

Description

Keywords

hep-th, hep-th, gr-qc

Journal Title

Phys Rev Lett

Conference Name

Journal ISSN

0031-9007
1079-7114

Volume Title

98

Publisher

American Physical Society (APS)