Holography at an Extremal De Sitter Horizon

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 dS_2 rather than AdS_2.

15 pages

References in corpus (11)

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• Kerr-AdS/CFT Correspondence in Diverse Dimensions
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• Asymptotic Symmetries and Charges in De Sitter Space
• Kerr-Newman-NUT-Kiselev black holes in Rastall theory of gravity and Kerr/CFT Correspondence
• The IR stability of de Sitter QFT: Physical initial conditions
• Higher Spin de Sitter Holography from Functional Determinants
• Entropy of Kaluza-Klein Black Hole from Kerr/CFT Correspondence
• A de Sitter Hoedown
• Hidden conformal symmetry of rotating charged black holes
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• Kerr-de Sitter Quasinormal Modes via Accessory Parameter Expansion
• Black hole microstates in AdS
• Kerr/CFT Correspondence on Kerr-Newman-NUT-Quintessence Black Hole
• Future Boundary Conditions in De Sitter Space
• Incompressible Fluids of the de Sitter Horizon and Beyond
• Holography For a De Sitter-Esque Geometry
• Marginal Deformations and Rotating Horizons
• Hidden conformal symmetry of extreme and non-extreme Einstein-Maxwell-Dilaton-Axion black holes
• Quantum Kerr-de Sitter black holes in three dimensions
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• Near-Extremal Limits of de Sitter Black Holes
• CFT duals on extremal rotating NUT black hole
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• An invitation to the principal series
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• Discrete torsion, de Sitter tunneling vacua and AdS brane: U(1) gauge theory on D4-brane and an effective curvature
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