Product representation of dyon partition function in CHL models | Zendy

Justin R. David | Zendy; Dileep P. Jatkar | Zendy; Ashoke Sen | Zendy

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Product representation of dyon partition function in CHL models

Author(s) -

Justin R. David,

Dileep P. Jatkar,

Ashoke Sen

Publication year - 2006

Publication title -

journal of high energy physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.998

H-Index - 261

eISSN - 1126-6708

pISSN - 1029-8479

DOI - 10.1088/1126-6708/2006/06/064

Subject(s) - partition function (quantum field theory) , mathematics , modular form , partition (number theory) , product (mathematics) , pure mathematics , inverse , cusp (singularity) , class (philosophy) , modular design , dyon , combinatorics , physics , computer science , geometry , magnetic monopole , quantum mechanics , artificial intelligence , operating system

A formula for the exact partition function of 1/4 BPS dyons in a class of CHLmodels has been proposed earlier. The formula involves inverse of Siegelmodular forms of subgroups of Sp(2,Z). In this paper we propose productformulae for these modular forms. This generalizes the result of Borcherds andGritsenko and Nikulin for the weight 10 cusp form of the full Sp(2,Z) group.Comment: LaTeX file, 39 pages; minor change

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