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Holography for a De Sitter-Esque geometry

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Abstract

Warped dS3 arises as a solution to topologically massive gravity (TMG) with positive cosmological constant +1/ℓ 2 and Chern-Simons coefficient 1/μ in the region μ 2 ℓ 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 dS3 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 μ 2 ℓ 2 = 27/5. We discuss the possible holographic interpretation of these de Sitter-esque spacetimes.

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Authors and Affiliations

  1. Center for the Fundamental Laws of Nature, Harvard University, Cambridge, MA, 02138, U.S.A.

    Dionysios Anninos

  2. Service de Physique théorique et mathématique, Université Libre de Bruxelles, Campus Plaine, CP231, B-1050, Brussels, Belgium

    Sophie de Buyl & Stéphane Detournay

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  1. Dionysios Anninos
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  2. Sophie de Buyl
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  3. Stéphane Detournay
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Correspondence to Stéphane Detournay.

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ArXiv ePrint: 1102.3178

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Anninos, D., de Buyl, S. & Detournay, S. Holography for a De Sitter-Esque geometry. J. High Energ. Phys. 2011, 3 (2011). https://doi.org/10.1007/JHEP05(2011)003

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