Siegel paramodular forms and sparseness in AdS3/CFT2

Alexandre Belin, Alejandra Castro, João Gomes, Christoph A. Keller

Research output: Contribution to journalArticlepeer-review

10 Scopus citations


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 supergravity theory. These examples open a path to novel realizations of AdS3/CFT2.

Original languageEnglish (US)
Article number37
JournalJournal of High Energy Physics
Issue number11
StatePublished - Nov 1 2018


  • 1/N Expansion
  • AdS-CFT Correspondence

ASJC Scopus subject areas

  • Nuclear and High Energy Physics


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