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Large N Phases, Gravitational Instantons and the Nuts and Bolts of AdS Holography

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arxiv hep-th/9808177 v1 pith:IKWWYXEB submitted 1998-08-29 hep-th

classification hep-th
keywords largequantumevenexamplesfieldgravityholographytheory
verification ladder T0 review T1 audit T2 compute T3 formal

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Recent results in the literature concerning holography indicate that the thermodynamics of quantum gravity (at least with a negative cosmological constant) can be modeled by the large N thermodynamics of quantum field theory. We emphasize that this suggests a completely unitary evolution of processes in quantum gravity, including black hole formation and decay; and even more extreme examples involving topology change. As concrete examples which show that this correspondence holds even when the space-time is only locally asymptotically AdS, we compute the thermodynamical phase structure of the AdS-Taub-NUT and AdS-Taub-Bolt spacetimes, and compare them to a 2+1 dimensional conformal field theory (at large N) compactified on a squashed three sphere, and on the twisted plane.

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Cited by 5 Pith papers

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