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arxiv: hep-th/0505094 · v2 · submitted 2005-05-11 · ✦ hep-th

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Recounting Dyons in N=4 String Theory

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classification ✦ hep-th
keywords blackdegeneraciesstringtheoryverlindeagreesautomorphiccoefficients
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A recently discovered relation between 4D and 5D black holes is used to derive weighted BPS black hole degeneracies for 4D N=4 string theory from the well-known 5D degeneracies. They are found to be given by the Fourier coefficients of the unique weight 10 automorphic form of the modular group Sp(2,Z). This result agrees exactly with a conjecture made some years ago by Dijkgraaf, Verlinde and Verlinde.

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