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CHL Dyons and Statistical Entropy Function from D1-D5 System

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arxiv hep-th/0605210 v2 pith:SXBVAX3M submitted 2006-05-21 hep-th

classification hep-th
keywords functiongivedegeneracydyonentropyinversestatisticalwhose
verification ladder T0 review T1 audit T2 compute T3 formal
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We give a proof of the recently proposed formula for the dyon spectrum in CHL string theories by mapping it to a configuration of D1 and D5-branes and Kaluza-Klein monopole. We also give a prescription for computing the degeneracy as a systematic expansion in inverse powers of charges. The computation can be formulated as a problem of extremizing a duality invariant statistical entropy function whose value at the extremum gives the logarithm of the degeneracy. During this analysis we also determine the locations of the zeroes and poles of the Siegel modular forms whose inverse give the dyon partition function in the CHL models.

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Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. OpenAlex reports about 194 citations worldwide. Full citation record

  1. Hodge Loci and Complex Multiplication via Generalized Symmetries in Calabi-Yau sigma models

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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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  3. 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.

  4. Logarithm of charge ratio in black hole entropy

    hep-th 2026-05 unverdicted novelty 6.0 of 10

    Macroscopic computation of charge-ratio logarithmic corrections to black hole entropy agrees with microscopic results in N=4 and N=8 string theories after including string-scale cutoff, dilaton-dependent measure, Kalb...

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