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Recounting Dyons in N=4 String Theory

High Energy Physics - Theory 2009-11-11 v2

Abstract

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.

Keywords

Cite

@article{arxiv.hep-th/0505094,
  title  = {Recounting Dyons in N=4 String Theory},
  author = {David Shih and Andrew Strominger and Xi Yin},
  journal= {arXiv preprint arXiv:hep-th/0505094},
  year   = {2009}
}

Comments

5 pages

R2 v1 2026-07-22T15:29:57.546Z