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arXiv · 1705.06295

Black Holes and Hurwitz Class Numbers

Shamit Kachru·Arnav Tripathy
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Abstract

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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Shamit Kachru, Arnav Tripathy. 2017-05-17. Black Holes and Hurwitz Class Numbers. https://doi.org/10.1142/s0218271817420032

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