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.

arXiv comment11 pages; v2: additional comments included

References in corpus (40)

• Non-Gaussian features of primordial fluctuations in single field inflationary models
• Black Hole Entropy is Noether Charge
• Some Properties of Noether Charge and a Proposal for Dynamical Black Hole Entropy
• N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals
• Heat kernel expansion: user's manual
• Exact Results for Wilson Loops in Superconformal Chern-Simons Theories with Matter
• Fractional M2-branes
• ABJM theory as a Fermi gas
• On the eigenfunctions of the Dirac operator on spheres and real hyperbolic spaces
• Logarithmic Corrections to Schwarzschild and Other Non-extremal Black Hole Entropy in Different Dimensions
• Holography for Cosmology
• Summing Up All Genus Free Energy of ABJM Matrix Model
• Instanton Effects in ABJM Theory from Fermi Gas Approach
• Large N Phases, Gravitational Instantons and the Nuts and Bolts of AdS Holography
• The gravity dual of supersymmetric gauge theories on a squashed three-sphere
• Quantum de Sitter horizon entropy from quasicanonical bulk, edge, sphere and topological string partition functions
• The Holography of F-maximization
• Exact Results on the ABJM Fermi Gas
• The Wave Function of Vasiliev's Universe - A Few Slices Thereof
• Holographic No-Boundary Measure
• The Unreasonable Effectiveness of Higher-Derivative Supergravity in AdS${}_4$ Holography
• Lectures on localization and matrix models in supersymmetric Chern-Simons-matter theories
• ABJ Triality: from Higher Spin Fields to Strings
• Probing non-perturbative effects in M-theory
• Three-sphere free energy for classical gauge groups
• De Sitter Space and Entanglement
• The minus sign in the first law of de Sitter horizons
• Quantum Probabilities for Inflation from Holography
• Thermodynamic ensembles with cosmological horizons
• Large $N$ Partition Functions of the ABJM Theory
• Three-dimensional de Sitter horizon thermodynamics
• Lessons for quantum cosmology from anti-de Sitter black holes
• ABJM at finite $N$ via 4d supergravity
• Mass Deformations of the ABJM Theory: The Holographic Free Energy
• The 3d $\mathcal{N}=6$ Bootstrap: From Higher Spins to Strings to Membranes
• Airy Function and 4d Quantum Gravity
• Supersymmetric dS/CFT
• Logarithmic Corrections, Entanglement Entropy, and UV Cutoffs in de Sitter Spacetime
• Primordial fluctuations from complex AdS saddle points
• Quantum Holographic Entanglement Entropy to All Orders in $1/N$ Expansion

Cited by in corpus (1)

• De Sitter Horizon Edge Partition Functions