A two-dimensional model for quantum gravity

Physics – Nuclear Physics

Scientific paper

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Scientific paper

Two-dimensional quantum gravity coupled to conformally invariant matter is a good model for the physics of higher-dimensional gravity, provided the central charge of the matter theory is greater than 25. In particular, the theory has a euclidean saddle point of large negative action, analogous to that considered by Baum, Hawking and Coleman in d = 4. Further, the theory is identical to string theory in an appropriate background, making it a promising laboratory for the study of topology change. Some preliminary applications are made to cosmological solutions, the Hartle-Hawking wavefunction, wormholes, and the classical field equation for the baby universe background.
A.P. Sloan Foundation Fellow.

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