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arXiv · hep-th/0203219

Quantum Gravity on $dS_{3}$

T. R. Govindarajan·R. K. Kaul·V. Suneeta
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Abstract

We study quantum gravity on $dS_{3}$ using the Chern-Simons formulation of three -dimensional gravity. We derive an exact expression for the partition function for quantum gravity on $dS_{3}$ in a Euclidean path integral approach. We show that the topology of the space relevant for studying de Sitter entropy is a solid torus. The quantum fluctuations of de Sitter space are sectors of configurations of point masses taking a {\em discrete} set of values. The partition function gives the correct semi-classical entropy. The sub-leading correction to the entropy is logarithmic in horizon area, with a coefficient -1. We discuss this correction in detail, and show that the sub-leading correction to the entropy from the dS/CFT correspondence agrees with our result. A comparison with the corresponding results for the $AdS_{3}$ BTZ black hole is also presented.

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T. R. Govindarajan, R. K. Kaul, V. Suneeta. 2002-07-12. Quantum Gravity on $dS_{3}$. https://doi.org/10.1088/0264-9381%2F19%2F15%2F320

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