From AdS3/CFT2 to Black Holes/Topological Strings

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.

11 pages

References in corpus (8)

• Black Hole Entropy in M-Theory
• Black Hole Attractors and the Topological String
• Six-Dimensional Supergravity on S^3 X AdS_3 and 2d Conformal Field Theory
• Two Dimensional Yang-Mills, Black Holes and Topological Strings
• Baby Universes in String Theory
• Microscopic Entropy of the Black Ring
• Supersymmetric Branes in AdS_2 x S^2 x CY_3
• D=5 Simple Supergravity on AdS_{3} x S^{2} and N=4 Superconformal Field Theory

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