Emergent AdS_3 in the Zero Entropy Extremal Black Holes

Abstract

We investigate the zero entropy limit of the near horizon geometries of D=4 and D=5 general extremal black holes with SL(2,R)xU(1)^{D-3} symmetry. We derive some conditions on the geometries from expectation of regularity. We then show that an AdS_3 structure emerges in a certain scaling limit, though the periodicity shrinks to zero. We present some examples to see the above concretely. We also comment on some implications to the Kerr/CFT correspondence.

arXiv comment32 pages; v2: minor corrections, references added, v3: minor corrections, references added, published in JHEP

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• More on Five Dimensional EVH Black Rings
• On Classification of Geometries with SO(2,2) Symmetry
• AdS${}_3$ to dS${}_3$ transition in the near horizon of asymptotically de Sitter solutions
• Extremal RN/CFT in Both Hands Revisited
• Extended Near Horizon Symmetries of Extremal BTZ Black Holes in 3D Massive Gravity