Microscopics of de Sitter Entropy from Precision Holography

Abstract

We calculate quantum corrections to the entropy of four-dimensional de Sitter space induced by higher-derivative terms in the gravitational action and by one-loop effects. Employing the intertwinement in semiclassical gravity of Euclidean de Sitter and anti-de Sitter saddles, we embed effective de Sitter gravity theories in M-theory and express the entropy in terms of the regularized Euclidean anti-de Sitter action on an auxiliary ${\mathrm{EAdS}}_4\times S^7/{\mathbb{Z}}_k$ background. We conjecture that the partition function of the holographically dual 3d ABJM CFT determines the explicit form of the corrections to the de Sitter entropy. This includes a logarithmic term, the coefficient of which, we show, agrees with an independent one-loop calculation around the $-S^4\times S^7/{\mathbb{Z}}_k$ Euclidean de Sitter saddle. This provides evidence that the microscopic degrees of freedom behind the entropy of four-dimensional de Sitter space in gravitational theories with a holographic dual description are encapsulated by the path integral of the Euclidean CFT on the three-sphere.

11 pages; v2: additional comments included

References in corpus (11)

• N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals
• Fractional M2-branes
• Summing Up All Genus Free Energy of ABJM Matrix Model
• The Unreasonable Effectiveness of Higher-Derivative Supergravity in AdS${}_4$ Holography
• Probing non-perturbative effects in M-theory
• The minus sign in the first law of de Sitter horizons
• Thermodynamic ensembles with cosmological horizons
• Large $N$ Partition Functions of the ABJM Theory
• Three-dimensional de Sitter horizon thermodynamics
• ABJM at finite $N$ via 4d supergravity
• Logarithmic Corrections, Entanglement Entropy, and UV Cutoffs in de Sitter Spacetime

Cited by in corpus (1)

• De Sitter Horizon Edge Partition Functions