Siegel modular forms and black hole entropy

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

Research output: Contribution to journalArticle

8 Citations (Scopus)

Abstract

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 the dominant contributions and the leading logarithmic corrections in various regimes. We also discuss similarities and differences to the behavior of χ10, and possible physical interpretations of such forms both from a microscopic and gravitational point of view.

Original languageEnglish (US)
Article number57
JournalJournal of High Energy Physics
Volume2017
Issue number4
DOIs
StatePublished - Apr 1 2017
Externally publishedYes

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counting
entropy
coefficients
cusps

Keywords

  • AdS-CFT Correspondence
  • Black Holes
  • Black Holes in String Theory

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

Cite this

Siegel modular forms and black hole entropy. / Belin, Alexandre; Castro, Alejandra; Gomes, João; Keller, Christoph A.

In: Journal of High Energy Physics, Vol. 2017, No. 4, 57, 01.04.2017.

Research output: Contribution to journalArticle

Belin, Alexandre ; Castro, Alejandra ; Gomes, João ; Keller, Christoph A. / Siegel modular forms and black hole entropy. In: Journal of High Energy Physics. 2017 ; Vol. 2017, No. 4.
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