How do black holes predict the sign of the Fourier coefficients of siegel modular forms?

Sen, Ashoke (2011) How do black holes predict the sign of the Fourier coefficients of siegel modular forms? General Relativity and Gravitation, 43 (8). pp. 2171-2183. ISSN 0001-7701

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Official URL: http://www.springerlink.com/content/xj21776464211t...

Related URL: http://dx.doi.org/10.1007/s10714-011-1175-9

Abstract

Single centered supersymmetric black holes in four dimensions have spherically symmetric horizon and hence carry zero angular momentum. This leads to a specific sign of the helicity trace index associated with these black holes. Since the latter are given by the Fourier expansion coefficients of appropriate meromorphic modular forms of Sp(2, Z) or its subgroup, we are led to a specific prediction for the signs of a subset of these Fourier coefficients which represent contributions from single centered black holes only. We explicitly test these predictions for the modular forms which compute the index of quarter BPS black holes in heterotic string theory on T6, as well as in ZN CHL models for N=2, 3, 5, 7.

Item Type:Article
Source:Copyright of this article belongs to Springer.
Keywords:Black Holes; String Theory; Siegel Modular Forms
ID Code:44075
Deposited On:20 Jun 2011 11:08
Last Modified:18 May 2016 00:53

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