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Abstract: Rotating maximal black holes in four-dimensional de Sitter space, for whichthe outer event horizon coincides with the cosmological horizon, have aninfinite near-horizon region described by the rotating Nariai metric. We showthat the asymptotic symmetry group at the spacelike future boundary of thenear-horizon region contains a Virasoro algebra with a real, positive centralcharge. This is evidence that quantum gravity in a rotating Nariai backgroundis dual to a two-dimensional Euclidean conformal field theory. These resultsare related to the Kerr-CFT correspondence for extremal black holes, but havetwo key differences: one of the black hole event horizons has been traded forthe cosmological horizon, and the near-horizon geometry is a fiber over dS 2rather than AdS 2.



Autor: Dionysios Anninos, Thomas Hartman

Fuente: https://arxiv.org/







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