Product Representation of Dyon Partition Function in CHL Models

Details Product Representation of Dyon Partition Function in CHL Models Product Representation of Dyon Partition Function in CHL Models

2006-02-24

arxiv.org/abs/hep-th/0602254v4

JHEP 0606:064,2006

Physics

High Energy Physics

High Energy Physics - Theory

LaTeX file, 39 pages; minor changes

Scientific paper

10.1088/1126-6708/2006/06/064

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.

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