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Clifford Johnson : Large N Phases, Holography and Quantum Gravity (Oct 15, 1998 4:00 PM)

The Holographic principle---in the form of the AdS/CFT correspondence---suggests a relation between processes in quantum gravity and phenomena in ordinary quantum field theory. The old `sum over histories' semi-classical approach to quantum gravity can be revisited in this light, by studying various gravitational instantons in AdS. We show that the AdS/CFT correspondence may be extended to spaces which are only locally asymptotically AdS, by examining the properties of the AdS-Taub-NUT and AdS-Taub-Bolt spacetimes. We also use holography to show that spacetime topology change in quantum gravity is a unitary process, in contrast to suggestions in the old `sum over histories' literature.

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