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

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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20 pages, three figures. (uses harvmac.tex and epsf.tex)

Scientific paper

10.1103/PhysRevD.59.064010

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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