2024/03/28 by Martí Rosselló, Rosselló, Martí · 1 citation
Chemistry · #11F37 #11F46 #81T30 #83C57 #FOS: Mathematics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #History and advancements in chemistry #Number Theory (math.NT)
paper · pdf · doi:10.48550/arxiv.2403.19630
openalex publication_date 2024/03/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The microstates of supersymmetric black holes in asymptotically flat four-dimensional spacetime are expected to be bosonic due to the spherical symmetry of their horizons. This implies that the index counting the difference between bosonic and fermionic black hole microstates must be positive, as conjectured by Sen in arXiv:1008.4209. We show that the conjecture is satisfied by the index which counts 1/4-BPS states in N = 4 string theory forming single centered black holes, called immortal dyons. The proof relies on the relation between the indexed degeneracies and the coefficients of a family of mock modular forms, thus showing that black holes predict the sign of the Fourier coefficients of mock modular forms.