Title: Partition Functions of Three Dimensional Gravity Date: Nov 12, 2007 … · 2019. 6. 19. ·...

Title: Partition Functions of Three Dimensional Gravity

Date: Nov 12, 2007 03:00 PM

URL: http://pirsa.org/07110061

Abstract: We consider pure three dimensional quantum gravity with a negative cosmological constant. The torus partition function can be computedexactly as a sum over geometries, including all known quantum corrections. The answer provides important clues about the structure of quantumgravity; in particular, in order for the theory to be a proper quantum mechanical system some extra ingredients are needed beyond the usual realgeometries considered in general relativity. One possiblity is that complex geometries need to be included; this leads to holomorphically factorizedpartition functions. These partition functions provide a wealth of information about black hole microphysics. For example, the Hawking-page phasetransition can be studied exactly; it is a phase transition of the type described by Lee and Yang, which is associated with a condensation of zeros inthe complex temperature plane.

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Title: Partition Functions of Three Dimensional Gravity Date: Nov 12, 2007 … · 2019. 6. 19. ·...

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