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Counting Dyons in N=8 String Theory

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arxiv hep-th/0506151 v1 pith:6GYSY2OQ submitted 2005-06-17 hep-th

classification hep-th
keywords degeneraciesblackstringtheoryweightedagreeboundcounting
verification ladder T0 review T1 audit T2 compute T3 formal

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A recently discovered relation between 4D and 5D black holes is used to derive exact (weighted) BPS black hole degeneracies for 4D N=8 string theory from the exactly known 5D degeneracies. A direct 4D microscopic derivation in terms of weighted 4D D-brane bound state degeneracies is sketched and found to agree.

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Forward citations

Cited by 7 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. OpenAlex reports about 79 citations worldwide. Full citation record

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    Proposes a CFT analogue of Hodge loci in Calabi-Yau sigma models via non-trivial TDL categories of topological defects, with CM number field embeddings at special points for elliptic curves and K3 surfaces.

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    Multi-center black hole saddles for the supersymmetric index exist at finite temperature, their on-shell action is the sum of extremal entropies, and the entire moduli space of saddles vanishes at walls of marginal stability.

  3. Logarithm of charge ratio in black hole entropy

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  4. Classical Unattainability of Extremality in non-BPS D-brane Systems

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    For a non-BPS four-charge D-brane system in N=8 string theory, the worldline potential has no classical zero-energy minimum, so extremality is unattainable; entropy is proposed as the logarithm of the number of isolat...

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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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    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.

  7. 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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