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Recounting Dyons in N=4 String Theory

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arxiv hep-th/0505094 v2 pith:ABKBH4NW submitted 2005-05-11 hep-th

David Shih , Andrew Strominger , Xi Yin This is my paper · ORCID
classification hep-th
keywords blackdegeneraciesstringtheoryverlindeagreesautomorphiccoefficients
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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.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Generating Function of single-centered Black Hole Index in CHL Models

    hep-th 2026-06 unverdicted novelty 6.0 of 10

    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.

  2. Pure D-brane Black Holes: BPS Counting and non-BPS Vacua

    hep-th 2026-01 conditional novelty 5.0 of 10

    The (1,1,1,5) and (1,1,1,6) D2-D2-D2-D6 BPS systems yield 2032 and 5616 vacua, matching U-duality, while the analogous non-BPS system has no zero-energy vacua and six doubly-degenerate low-energy minima.

  3. Mock modularity at work, or black holes in a forest

    hep-th 2025-05 conditional novelty 4.0 of 10

    Generating functions of D4-D2-D0 BPS black hole microstates in Calabi-Yau compactifications are higher-depth mock modular forms, and solving their anomaly equations determines exact degeneracies and topological invariants.

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