Recounting Dyons in N=4 String Theory

Details Recounting Dyons in N=4 String Theory Recounting Dyons in N=4 String Theory

2005-05-11

arxiv.org/abs/hep-th/0505094v2

JHEP 0610:087,2006

Physics

High Energy Physics

High Energy Physics - Theory

5 pages

Scientific paper

10.1088/1126-6708/2006/10/087

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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