Constructs generating function for single-centered black hole index in Z_N CHL models by subtracting two-centered contributions from dyon index using bound state metamorphosis and proves convergence for N=2,3.
How Do Black Holes Predict the Sign of the Fourier Coefficients of Siegel Modular Forms?
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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 T^6, as well as in Z_N CHL models for N=2,3,5,7.
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Microscopic D-brane description of non-supersymmetric extremal black holes yields a unique ground state with non-zero energy, confirming absence of degeneracy.
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Generating Function of single-centered Black Hole Index in CHL Models
Constructs generating function for single-centered black hole index in Z_N CHL models by subtracting two-centered contributions from dyon index using bound state metamorphosis and proves convergence for N=2,3.
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An extremal black hole with a unique ground state
Microscopic D-brane description of non-supersymmetric extremal black holes yields a unique ground state with non-zero energy, confirming absence of degeneracy.