From AdS3/CFT2 to Black Holes/Topological Strings

Details From AdS3/CFT2 to Black Holes/Topological Strings From AdS3/CFT2 to Black Holes/Topological Strings

2006-02-04

arxiv.org/abs/hep-th/0602046v1

JHEP 0709:050,2007

Physics

High Energy Physics

High Energy Physics - Theory

11 pages

Scientific paper

10.1088/1126-6708/2007/09/050

The elliptic genus Z_{BH} of a large class of 4D black holes can be expressed as an M-theory partition function on an AdS_3xS^2xCY_3 attractor. We approximate this partition function by summing over multiparticle chiral primary states of membranes which wrap curves in the CY_3 and tile Landau levels on the horizon S^2. Significantly, membranes and antimembranes can preserve the same supercharges if they occupy antipodal points on the horizon. It is shown the membrane contribution to Z_{BH} gives precisely the topological string partition function Z_{top} while the antimembranes give \bar Z_{top}, implying Z_{BH}=|Z_{top}|^2 in this approximation.

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