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-Ramond variable, and microcanonical ensemble.
Dyon Spectrum in CHL Models
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abstract
We propose a formula for the degeneracy of quarter BPS dyons in a class of CHL models. The formula uses a modular form of a subgroup of the genus two modular group Sp(2,Z). Our proposal is S-duality invariant and reproduces correctly the entropy of a dyonic black hole to first non-leading order for large values of the charges.
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Logarithm of charge ratio in black hole entropy
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-Ramond variable, and microcanonical ensemble.