Emergent AdS_3 in the Zero Entropy Extremal Black Holes

Details Emergent AdS_3 in the Zero Entropy Extremal Black Holes Emergent AdS_3 in the Zero Entropy Extremal Black Holes

2010-10-20

arxiv.org/abs/1010.4291v3

JHEP 1103:004,2011

Physics

High Energy Physics

High Energy Physics - Theory

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

Scientific paper

10.1007/JHEP03(2011)004

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.

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