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

2020/09/30 by Dionysios Anninos, Frederik Denef, Y. T. Albert Law +1
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Conformal field theory #Conformal map #Cosmology and Gravitation Theories #De Sitter universe #Entropy (arrow of time) #Geometry #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Partition function (quantum field theory) #Physics #Quantum #Quantum entanglement #Quantum gravity #Quantum mechanics #String theory #Universe #hep-th

paper · pdf · doi:10.1007/jhep01(2022)088

published as J. High Energ. Phys. 2022, 88 (2022) · Published version

openalex publication_date 2022/01/01 · arxiv created 2022/02/20 · arxiv updated 2022/02/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

A bstract 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 ± and conformal results. Holography is exhibited in quasi-exact bulk-edge cancelation.

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