Product Representation of Dyon Partition Function in CHL Models
Justin R. David, Dileep P. Jatkar, Ashoke Sen
TL;DR
This paper introduces product formulae for Siegel modular forms related to the exact partition function of 1/4 BPS dyons in CHL models, extending previous mathematical results to a broader class of modular forms.
Contribution
It generalizes known product formulae for Siegel modular forms to subgroups relevant for CHL models, advancing the mathematical understanding of dyon partition functions.
Findings
Derived new product formulae for modular forms
Extended Borcherds and Gritsenko-Nikulin results
Enhanced the mathematical framework for dyon counting
Abstract
A formula for the exact partition function of 1/4 BPS dyons in a class of CHL models has been proposed earlier. The formula involves inverse of Siegel modular forms of subgroups of Sp(2,Z). In this paper we propose product formulae for these modular forms. This generalizes the result of Borcherds and Gritsenko and Nikulin for the weight 10 cusp form of the full Sp(2,Z) group.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.