Siegel modular forms and black hole entropy

@article{Belin2017SiegelMF,
  title={Siegel modular forms and black hole entropy},
  author={Alexandre Belin and Alejandra Castro and Jo{\~a}o Gomes and Christoph A. Keller},
  journal={Journal of High Energy Physics},
  year={2017},
  volume={2017},
  url={https://api.semanticscholar.org/CorpusID:256037311}
}
We discuss the application of Siegel Modular Forms to Black Hole entropy counting. The role of the Igusa cusp form χ10 in the D1D5P system is well-known, and its transformation properties are what allows precision microstate counting in this case. We apply a similar method to extract the Fourier coefficients of other Siegel modular and paramodular forms, and we show that they could serve as candidates for other types of black holes. We investigate the growth of their coefficients, identifying… 
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