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Recounting Dyons in N=4 String Theory

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abstract

A recently discovered relation between 4D and 5D black holes is used to derive weighted BPS black hole degeneracies for 4D N=4 string theory from the well-known 5D degeneracies. They are found to be given by the Fourier coefficients of the unique weight 10 automorphic form of the modular group Sp(2,Z). This result agrees exactly with a conjecture made some years ago by Dijkgraaf, Verlinde and Verlinde.

fields

hep-th 1

years

2026 1

verdicts

UNVERDICTED 1

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  • Generating Function of single-centered Black Hole Index in CHL Models hep-th · 2026-06-17 · unverdicted · none · ref 7 · internal anchor

    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.