TY - JOUR
T1 - Siegel modular forms and black hole entropy
AU - Belin, Alexandre
AU - Castro, Alejandra
AU - Gomes, João
AU - Keller, Christoph A.
N1 - Publisher Copyright:
© 2017, The Author(s).
PY - 2017/4/1
Y1 - 2017/4/1
N2 - 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.
AB - 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.
KW - AdS-CFT Correspondence
KW - Black Holes
KW - Black Holes in String Theory
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U2 - 10.1007/JHEP04(2017)057
DO - 10.1007/JHEP04(2017)057
M3 - Article
AN - SCOPUS:85017530397
SN - 1126-6708
VL - 2017
JO - Journal of High Energy Physics
JF - Journal of High Energy Physics
IS - 4
M1 - 57
ER -