Conformally coupled scalars, instantons, and vacuum instability in 4D anti-de Sitter space.
Accepted version
Peer-reviewed
Repository URI
Repository DOI
Change log
Authors
de Haro, Sebastian https://orcid.org/0000-0002-3000-5967
Papadimitriou, Ioannis https://orcid.org/0000-0001-5924-442X
Petkou, Anastasios C 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
1079-7114
Volume Title
98
Publisher
American Physical Society (APS)