Holography For a De Sitter-Esque Geometry

Abstract

Warped dS${}_3$ arises as a solution to topologically massive gravity (TMG) with positive cosmological constant $+1/{\ell }^2$ and Chern-Simons coefficient $1/\mu$ in the region ${\mu }^2{\ell }^2<27$. It is given by a real line fibration over two-dimensional de Sitter space and is equivalent to the rotating Nariai geometry at fixed polar angle. We study the thermodynamic and asymptotic structure of a family of geometries with warped dS${}_3$ asymptotics. Interestingly, these solutions have both a cosmological horizon and an internal one, and their entropy is unbounded from above unlike black holes in regular de Sitter space. The asymptotic symmetry group resides at future infinity and is given by a semi-direct product of a Virasoro algebra and a current algebra. The right moving central charge vanishes when ${\mu }^2{\ell }^2=27/5$. We discuss the possible holographic interpretation of these de Sitter-esque spacetimes.

22 pages, 1 figure; v2: typos corrected, to match with published version

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Cited by in corpus (22)

• Warped Conformal Field Theory
• De Sitter Musings
• Infrared Realization of dS${}_2$ in AdS${}_2$
• Inner Mechanics of 3d Black Holes
• Thermodynamics of Black Hole Horizons and Kerr/CFT Correspondence
• Higher Spin Realization of the dS/CFT Correspondence
• Holographic perfect fluidity, Cotton energy-momentum duality and transport properties
• Future Boundary Conditions in De Sitter Space
• Incompressible Fluids of the de Sitter Horizon and Beyond
• Warped Symmetries of the Kerr Black Hole
• Quantum Kerr-de Sitter black holes in three dimensions
• Warped AdS_3 Black Holes in Higher Derivative Gravity Theories
• Quantum Topologically Massive Gravity in de Sitter Space
• Quasinormal Modes and Hidden Conformal Symmetry of Warped dS${}_3$ Black Hole
• Asymptotic Symmetries of Three-Dimensional Black Strings
• Warped Flatland
• Gravitational duality, topologically massive gravity and holographic fluids
• Homogeneous anisotropic solutions of topologically massive gravity with cosmological constant and their homogeneous deformations
• Warped Conformal Symmetries of the Accelerating Kerr Black Hole
• Warped CFT duals of the Plebański-Demiański family of solutions
• Gravitational radiations of Kerr black hole from warped symmetries
• Notes on Self-dual Warped dS${}_3$ Spacetime