Borcherds-Kac-Moody Symmetry of N=4 Dyons

@article{Cheng2008BorcherdsKacMoodySO,
  title={Borcherds-Kac-Moody Symmetry of N=4 Dyons},
  author={Miranda C N Cheng and Atish Dabholkar},
  journal={Communications in Number Theory and Physics},
  year={2008},
  volume={3},
  pages={59-110}
}
We consider compactifications of heterotic string theory to four dimensions on CHL (Chaudhuri-Hockney-Lykken) orbifolds of the type T /ZN with N = 4 supersymmetry. The exact partition functions of the quarter-BPS (Bogomol’nyi-Prasad-Sommerfeld) dyons in these models are given in terms of genus-two Siegel modular forms. Only the N = 1, 2, 3 models satisfy a certain finiteness condition, and in these cases one can identify a Borcherds–Kac–Moody superalgebra underlying the symmetry structure of… 

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