Quantum Gravity on $d{S}_3$

Abstract

We study quantum gravity on $d{S}_3$ using the Chern-Simons formulation of three -dimensional gravity. We derive an exact expression for the partition function for quantum gravity on $d{S}_3$ 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 $Ad{S}_3$ BTZ black hole is also presented.

10 pages, revtex4, 1 eps figure, published version

References in corpus (8)

• The dS/CFT Correspondence
• Mass, Entropy and Holography in Asymptotically de Sitter Spaces
• Les Houches Lectures on De Sitter Space
• Logarithmic correction to the Bekenstein-Hawking entropy of the BTZ black hole
• Some Aspects of the de Sitter/CFT Correspondence
• Further Evidence for the Conformal Structure of a Schwarzschild Black Hole in an Algebraic Approach
• Entropy of the three dimensional Schwarzschild-de Sitter black hole
• de Sitter entropy from conformal field theory

Cited by in corpus (17)

• On the Thermodynamic Geometry of BTZ Black Holes
• Quantum de Sitter horizon entropy from quasicanonical bulk, edge, sphere and topological string partition functions
• Exploring de Sitter Space and Holography
• Solving 3d Gravity with Virasoro TQFT
• A de Sitter Farey Tail
• Three-dimensional de Sitter horizon thermodynamics
• $T\bar{T}+{\Lambda }_2$ Deformed CFT on the Stretched dS${}_3$ Horizon
• Keeping matter in the loop in dS${}_3$ quantum gravity
• Gravitational Wilson Lines in 3D de Sitter
• Entropy of Quantum Black Holes
• Universal near-horizon conformal structure and black hole entropy
• Notes on Euclidean de Sitter space
• Big Bangs and Bounces on the Brane
• A New Census of the Universe's Entropy
• Dwelling on de Sitter
• Comments on Quantum Aspects of Three-Dimensional de Sitter Gravity
• Cosmological Implications of Thermodynamic Split Conjecture