Three-dimensional de Sitter horizon thermodynamics

Abstract

We explore thermodynamic contributions to the three-dimensional de Sitter horizon originating from metric and Chern-Simons gauge field fluctuations. In Euclidean signature these are computed by the partition function of gravity coupled to matter semi-classically expanded about the round three-sphere saddle. We investigate a corresponding Lorentzian picture - drawing inspiration from the topological entanglement entropy literature - in the form of an edge-mode theory residing at the de Sitter horizon. We extend the discussion to three-dimensional gravity with positive cosmological constant, viewed (semi-classically) as a complexified Chern-Simons theory. The putative gravitational edge-mode theory is a complexified version of the chiral Wess-Zumino-Witten model associated to the edge-modes of ordinary Chern-Simons theory. We introduce and solve a family of complexified Abelian Chern-Simons theories as a way to elucidate some of the more salient features of the gravitational edge-mode theories. We comment on the relation to the AdS${}_4$/CFT${}_3$ correspondence.

34 pages + appendices, 5 figures

References in corpus (9)

• Micromanaging de Sitter holography
• Topological Entanglement Entropy from the Holographic Partition Function
• Interface Contributions to Topological Entanglement in Abelian Chern-Simons Theory
• de Sitter Supersymmetry Revisited
• Quantum conformal mechanics
• The Quantum Gravity Disk: Discrete Current Algebra
• The two-sphere partition function in two-dimensional quantum gravity at fixed area
• The two-sphere partition function in two-dimensional quantum gravity
• Partition functions of $p$-forms from Harish-Chandra characters

Cited by in corpus (10)

• 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
• Finite Features of Quantum De Sitter Space
• Interpolating geometries and the stretched dS${}_2$ horizon
• Tensors and Spinors in de Sitter Space
• Black hole to cosmic horizon microstates in string/M theory: timelike boundaries and internal averaging
• Microscopics of de Sitter Entropy from Precision Holography