Product representation of dyon partition function in CHL models

By J. R. David, Dileep P. Jatkar, Ashoke Sen. 2006

145 citations recorded by the source corpus.

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,). 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,) group.

Subfields: Algebra and Number Theory, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/14d7d600a55192333c0ca6cf82841c7550dd22be

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In Algebra and Number Theory

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In Mathematical Physics

Citations in the corpus

Recounting Dyons in N=4 String Theory (2005, unknown): “(See [9] for a more careful derivation.”
Lectures on black holes, topological strings and quantum attractors (2006, unknown): “The conjecture has also been generalized to other N = 4 “CHL” models with different values of nv in (2.21) [33, 34 , 35].”
K3 Surfaces, N=4 Dyons, and the Mathieu Group M24 (2010, methodology): “[7] and we found that under similar decomposition they are indeed given by the McKay-Thompson series of the appropriate elements g ∈ M24.”
Logarithmic corrections to extremal black hole entropy from quantum entropy function (2010, background): “(Further results on the microscopic spectrum of N = 4 supersymmetric string theories, which will be our focus of attention, can be found in [16–42].”
Mathieu Moonshine in the elliptic genus of K3 (2010, background): “All geometric symmetries of K3 at a suitable point in moduli space lie in this subgroup [15, 16], and thus some of them can be calculated from first principles, see also [10].”
Black hole entropy function, attractors and precision counting of microstates (2007, methodology): “These techniques were first developed in [250,251,252,253] and generalized to the cases under study in [11].”