Siegel paramodular forms and sparseness in AdS3/CFT2

@article{Belin2018SiegelPF,
  title={Siegel paramodular forms and sparseness in AdS3/CFT2},
  author={Alexandre Belin and Alejandra Castro and Jo{\~a}o Gomes and Christoph A. Keller},
  journal={Journal of High Energy Physics},
  year={2018},
  volume={2018},
  url={https://api.semanticscholar.org/CorpusID:256040660}
}
We discuss the application of Siegel paramodular forms to the counting of polar states in symmetric product orbifold CFTs. We present five special examples and provide exact analytic counting formulas for their polar states. The first example reproduces the known result for type IIB supergravity on AdS3 ×S3 ×K3, whereas the other four examples give new counting formulas. Their crucial feature is that the low energy spectrum is very sparse, which suggests the existence of a suitable dual… 
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