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Holography at an extremal De Sitter horizon

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Abstract

Rotating maximal black holes in four-dimensional de Sitter space, for which the outer event horizon coincides with the cosmological horizon, have an infinite near-horizon region described by the rotating Nariai metric. We show that the asymptotic symmetry group at the spacelike future boundary of the near-horizon region contains a Virasoro algebra with a real, positive central charge. This is evidence that quantum gravity in a rotating Nariai background is dual to a two-dimensional Euclidean conformal field theory. These results are related to the Kerr/CFT correspondence for extremal black holes, but have two key differences: one of the black hole event horizons has been traded for the cosmological horizon, and the near-horizon geometry is a fiber over dS2 rather than AdS2.

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  1. Jefferson Physical Laboratory, Harvard University, Cambridge, MA, 02138, U.S.A.

    Dionysios Anninos & Thomas Hartman

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  1. Dionysios Anninos
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  2. Thomas Hartman
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Correspondence to Thomas Hartman.

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ArXiv ePrint: 0910.4587

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Anninos, D., Hartman, T. Holography at an extremal De Sitter horizon. J. High Energ. Phys. 2010, 96 (2010). https://doi.org/10.1007/JHEP03(2010)096

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