We study nonperturbative effects of quantum gravity in a system consisting of a coupled pair of holographic CFTs. The AdS _4 4 /CFT _3 3 system has three possible ground states: two copies of empty AdS, a pair of extremal AdS black holes, and an eternal AdS traversable wormhole. We give a recipe for calculating transition rates via gravitational instantons and test it by calculating the emission rate of radiation shells from a black hole. We calculate the nucleation rate of a traversable wormhole between a pair of AdS-RN black holes in the canonical and microcanonical ensembles. Our results give predictions of nonpertubative quantum gravity that can be tested in a holographic simulation.
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Bintanja et al. (2024) studied this question.
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