Quantum (in)stability of dilatonic AdS backgrounds and holographic renormalization group with gravity

Details Quantum (in)stability of dilatonic AdS backgrounds and holographic renormalization group with gravity Quantum (in)stability of dilatonic AdS backgrounds and holographic renormalization group with gravity

2000-01-28

arxiv.org/abs/hep-th/0001192v3

Phys.Rev.D62:064006,2000

Physics

High Energy Physics

High Energy Physics - Theory

LaTeX file, 19 pages, misprints corrected

Scientific paper

10.1103/PhysRevD.62.064006

Stability of dilatonic AdS spaces due to quantum effects of dilaton coupled conformal matter is considered. When such spaces do not exist on classical level, their dynamical generation occurs. Explicit examples corresponding to quantum creation of d4 dilatonic AdS Universe and of d2 dilatonic AdS Black Hole (BH) are presented. Motivated by holographic RG, in the similar approach the complete d5 effective action is discussed. The intermediate region where it is the sum of two parts: bulk (classical gravity) and boundary quantum action is investigated. The effective equations solution representing d5 AdS Universe with warp scale factor is found. Four-dimensional de Sitter or AdS world is generated on the boundary of such Universe as a result of quantum effects.

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