2009/10/23 by Dionysios Anninos, Thomas Hartman · 1 citation
Physics and Astronomy · #Anti-de Sitter space #Black Holes and Theoretical Physics #Black hole (networking) #Boundary (topology) #Conformal field theory #Cosmology and Gravitation Theories #De Sitter universe #Euclidean geometry #Event horizon #Horizon #Noncommutative and Quantum Gravity Theories #Symmetry (geometry) #de Sitter–Schwarzschild metric #hep-th
paper · pdf · doi:10.1007/jhep03(2010)096
published as JHEP 1003:096,2010 · 15 pages
arxiv created 2009/10/23 · openalex publication_date 2010/03/01 · arxiv updated 2015/05/14 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
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.