Journal
JOURNAL OF HIGH ENERGY PHYSICS
Volume -, Issue 6, Pages -Publisher
SPRINGER
DOI: 10.1007/JHEP06(2015)101
Keywords
AdS-CFT Correspondence; Models of Quantum Gravity; Black Holes
Categories
Funding
- National Science Foundation of Belgium (FWO) [G.001.12]
- European Research Council [ERC-2013-CoG 616732]
- Belgian Federal Science Policy Office
- European Science Foundation
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We evaluate the tunneling and Hartle-Hawking wave functions on S-1 x S-2 boundaries in Einstein gravity with a positive cosmological constant. In the large overall volume limit the classical predictions of both wave functions include an ensemble of Schwarzschild-de Sitter black holes. We show that the Hartle-Hawking tree level measure on the classical ensemble converges in the small S-1 limit. A divergence in this regime can be identified in the tunneling state. However we trace this to the contribution of an unphysical branch of saddle points associated with negative mass black holes. Using a representation in which all saddle points have an interior Euclidean anti-de Sitter region we also derive a holographic form of both semiclassical wave functions on S-1 x S-2 boundaries.
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