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arXiv · hep-th/0602046

From AdS3/CFT2 to Black Holes/Topological Strings

Davide Gaiotto·Andrew Strominger·Xi Yin
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Abstract

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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Davide Gaiotto, Andrew Strominger, Xi Yin. 2006-02-04. From AdS3/CFT2 to Black Holes/Topological Strings. https://doi.org/10.1088/1126-6708%2F2007%2F09%2F050

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