期刊
CLASSICAL AND QUANTUM GRAVITY
卷 27, 期 20, 页码 -出版社
IOP PUBLISHING LTD
DOI: 10.1088/0264-9381/27/20/205007
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资金
- US National Science Foundation [PHY08-55415, PHY05-51164]
- UCSB Physics Department
- Division Of Physics
- Direct For Mathematical & Physical Scien [855415] Funding Source: National Science Foundation
We consider asymptotically anti de Sitter gravity coupled to a scalar field with mass slightly above the Breitenlohner-Freedman bound. This theory admits a large class of consistent boundary conditions characterized by an arbitrary function W. An important open question is to determine which W admit stable ground states. It has previously been shown that the total energy is bounded from below if W is bounded from below, and the bulk scalar potential V(phi) admits a suitable superpotential. We extend this result and show that the energy remains bounded even in some cases where W can become arbitrarily negative. As one application, this leads to the possibility that in gauge/gravity duality, one can add a double trace operator with negative coefficient to the dual field theory and still have a stable vacuum.
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