Dyon Spectrum in CHL Models
Dileep P. Jatkar, Ashoke Sen
TL;DR
This paper presents a new formula for counting quarter BPS dyons in CHL models, utilizing a modular form, which is invariant under S-duality and matches black hole entropy calculations.
Contribution
It introduces a novel S-duality invariant formula for dyon degeneracies in CHL models based on a specific genus two modular form.
Findings
The formula correctly reproduces black hole entropy to first non-leading order.
It demonstrates S-duality invariance of the dyon degeneracy.
Provides a consistent counting method for quarter BPS states in CHL models.
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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