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arxiv: 1705.06295 · v1 · pith:EVHGZU2Tnew · submitted 2017-05-17 · ✦ hep-th · gr-qc

Black Holes and Hurwitz Class Numbers

classification ✦ hep-th gr-qc
keywords blackholestheorystringclasscompactificationconnectingcounting
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We define a natural counting function for BPS black holes in $K3 \times T^2$ compactification of type II string theory, and observe that it is given by a weight 3/2 mock modular form discovered by Zagier. This hints at tantalizing relations connecting black holes, string theory, and number theory.

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