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- W1867509624 abstract "We study microstates of the three dimensional black hole obtained by quantizing topologically non-trivial geometries behind the event horizon. In chiral gravity these states are found by quantizing the moduli space of bordered Riemann surfaces. In the semi-classical limit these microstates can be counted using intersection theory on the moduli space of punctured Riemann surfaces. We make a conjecture (supported by numerics) for the asymptotic behaviour of the relevant intersection numbers. The result is that the geometric microstates with fixed topology have an entropy which grows too slowly to account for the semiclassical Bekenstein-Hawking entropy. The sum over topologies, however, leads to a divergence. We conclude with some speculations about how this might be resolved to give an entropy proportional to horizon area." @default.
- W1867509624 created "2016-06-24" @default.
- W1867509624 creator A5071286606 @default.
- W1867509624 date "2015-08-17" @default.
- W1867509624 modified "2023-09-27" @default.
- W1867509624 title "Geometric Microstates for the Three Dimensional Black Hole" @default.
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