Generalities of Quarter BPS Dyon Partition Function and Dyons of Torsion Two

Abstract

We propose a general set of constraints on the partition function of quarter BPS dyons in any N=4 supersymmetric string theory by drawing insight from known examples, and study the consequences of this proposal. The main ingredients of our analysis are duality symmetries, wall crossing formula and black hole entropy. We use our analysis to constrain the dyon partition function for two hitherto unknown cases -- the partition function of dyons of torsion two (i.e. gcd(Q\wedge P)=2) in heterotic string theory on T^6 and the partition function of dyons carrying untwisted sector electric charge in Z_2 CHL model. With the help of these constraints we propose a candidate for the partition function of dyons of torsion two in heterotic string theory on T^6. This leads to a novel wall crossing formula for decay of quarter BPS dyons into half BPS dyons with non-primitive charge vectors. In an appropriate limit the proposed formula reproduces the known result for the spectrum of torsion two dyons in gauge theory.

LaTeX file, 63 pages

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Cited by in corpus (17)

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• N=8 Dyon Partition Function and Walls of Marginal Stability
• Compact gauge K vortices
• Asymptotic Expansion of the N=4 Dyon Degeneracy
• Discrete Information from CHL Black Holes
• Wall Crossing Formula for N=4 Dyons: A Macroscopic Derivation
• How Do Black Holes Predict the Sign of the Fourier Coefficients of Siegel Modular Forms?
• The mixed black hole partition function for the STU model
• Genus Two Surface and Quarter BPS Dyons: The Contour Prescription
• Subleading Correction to Statistical Entropy for BMPV Black Hole
• The Spectra of Supersymmetric States in String Theory
• U-duality Invariant Quantum Entropy from Sums of Kloosterman Sums
• Fermion zero modes of Denef Bates black holes