Quantum de Sitter horizon entropy from quasicanonical bulk, edge, sphere and topological string partition functions

Abstract

Motivated by the prospect of constraining microscopic models, we calculate the exact one-loop corrected de Sitter entropy (the logarithm of the sphere partition function) for every effective field theory of quantum gravity, with particles in arbitrary spin representations. In doing so, we universally relate the sphere partition function to the quotient of a quasi-canonical bulk and a Euclidean edge partition function, given by integrals of characters encoding the bulk and edge spectrum of the observable universe. Expanding the bulk character splits the bulk (entanglement) entropy into quasinormal mode (quasiqubit) contributions. For 3D higher-spin gravity formulated as an sl($n$) Chern-Simons theory, we obtain all-loop exact results. Further to this, we show that the theory has an exponentially large landscape of de Sitter vacua with quantum entropy given by the absolute value squared of a topological string partition function. For generic higher-spin gravity, the formalism succinctly relates dS, AdS${}^{\pm }$ and conformal results. Holography is exhibited in quasi-exact bulk-edge cancelation.

Published version

References in corpus (20)

• Towards a derivation of holographic entanglement entropy
• Asymptotic symmetries of three-dimensional gravity coupled to higher-spin fields
• Three-Dimensional Gravity Revisited
• Logarithmic Corrections to Extremal Black Hole Entropy from Quantum Entropy Function
• Micromanaging de Sitter holography
• Towards a quantum theory of de Sitter space
• Partition function of free conformal higher spin theory
• The Return of a Static Universe and the End of Cosmology
• Higher-Spin Algebras, Holography and Flat Space
• Entanglement Entropy in (3+1)-d Free $U(1)$ Gauge Theory
• Entanglement entropy for even spheres
• Black holes and universality classes of critical points
• Entanglement entropy for odd spheres
• Manifest Duality for Partially Massless Higher Spins
• AdS one-loop partition functions from bulk and edge characters
• A Compendium of Sphere Path Integrals
• Higher spin de Sitter quasinormal modes
• A survey of Einstein metrics on 4-manifolds
• Towards causal patch physics in dS/CFT
• Massive sphere determinants

Cited by in corpus (59)

• An Algebra of Observables for de Sitter Space
• Analyticity and Unitarity for Cosmological Correlators
• de Sitter Microstates from $T\bar{T}+{\Lambda }_2$ and the Hawking-Page Transition
• The central dogma and cosmological horizons
• Holography in de Sitter Space via Chern-Simons Gauge Theory
• CFT duals of three-dimensional de Sitter gravity
• Holographic Complexity and de Sitter Space
• The Källén-Lehmann representation in de Sitter spacetime
• Holographic Complexity in dS${}_{d+1}$
• Quantum complexity in gravity, quantum field theory, and quantum information science
• Finite Features of Quantum De Sitter Space
• Three-dimensional de Sitter horizon thermodynamics
• $T\bar{T}+{\Lambda }_2$ Deformed CFT on the Stretched dS${}_3$ Horizon
• The Cosmological Switchback Effect
• Tensors and Spinors in de Sitter Space
• Complex geodesics in de Sitter space
• Keeping matter in the loop in dS${}_3$ quantum gravity
• Dynamical Edge Modes and Entanglement in Maxwell Theory
• Entanglement entropy of gravitational edge modes
• AdS one-loop partition functions from bulk and edge characters
• Exceptional scalar theories in de Sitter space
• Matrix Quantization of Gravitational Edge Modes
• A microscopic realization of dS${}_3$
• Black hole to cosmic horizon microstates in string/M theory: timelike boundaries and internal averaging
• A Compendium of Sphere Path Integrals
• Higher spin de Sitter quasinormal modes
• Black Hole Scattering and Partition Functions
• Logarithmic Corrections, Entanglement Entropy, and UV Cutoffs in de Sitter Spacetime
• Black Hole Horizon Edge Partition Functions
• de Sitter at all loops: the story of the Schwinger model
• dS${}_2$ Supergravity
• Higher Spin Gravities and Presymplectic AKSZ Models
• Partition functions of higher derivative conformal fields on conformally related spaces
• Characters, quasinormal modes, and Schwinger pairs in $d{S}_2$ with flux
• Free energy and entropy in Rindler and de Sitter space-times
• The Cosmological Switchback Effect II
• Probing de Sitter from the horizon
• Quantum Corner Symmetry: Representations and Gluing
• Dynamical Edge Modes in $p$-form Gauge Theories
• Microscopics of de Sitter Entropy from Precision Holography
• Partition functions and entanglement entropy: Weyl graviton and conformal higher spin fields
• The two-sphere partition function in two-dimensional quantum gravity at fixed area
• Quasinormal Corrections to Near-Extremal Black Hole Thermodynamics
• The two-sphere partition function in two-dimensional quantum gravity
• De Sitter entropy: on-shell versus off-shell
• Dynamical Edge Modes in Yang-Mills Theory
• Bulk-boundary entanglement correspondence and the Ryu-Takayanagi conjecture in an $Ad{S}_2/CF{T}_1$ setup
• Quantum information and the C-theorem in de Sitter
• Real-time observables in de Sitter thermodynamics
• Massive fields and Wilson spools in JT gravity
• De Sitter Horizon Edge Partition Functions
• Partition functions of $p$-forms from Harish-Chandra characters
• The quantum $p$-spin glass model: A user manual for holographers
• Gravitons on Nariai Edges
• The two-sphere partition function from timelike Liouville theory at three-loop order
• Enhanced symmetry and Entropy of Schwarzschild-deSitter spacetime
• Relational de Sitter State Counting with an SU(3) Clock
• The semiclassical gravitational path integral and random matrices
• The Fate of Nucleated Black Holes in de Sitter Quantum Gravity