Partition Functions of Torsion >1 Dyons in Heterotic String Theory on T^6

Abstract

The original proposal of Dijkgraaf, Verlinde and Verlinde for the quarter BPS dyon partition function in heterotic string theory on T^6 is known to correctly produce the degeneracy of dyons of torsion 1, i.e. dyons for which gcd(Q\wedge P)=1. We propose a generalization of this formula for dyons of arbitrary torsion. Our proposal satisfies the constraints coming from S-duality invariance, wall crossing formula, black hole entropy and the gauge theory limit. Furthermore using our proposal we derive a general wall crossing formula that is valid even when both the decay products are non-primitive half-BPS dyons.

LaTeX file, 16 pages

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Cited by in corpus (13)

• Wall-Crossing from Boltzmann Black Hole Halos
• Logarithmic Corrections to Extremal Black Hole Entropy from Quantum Entropy Function
• Supersymmetric Index from Black Hole Entropy
• Arithmetic of Quantum Entropy Function
• Black holes admitting a Freudenthal dual
• A Farey tale for N=4 dyons
• Asymptotic Expansion of the N=4 Dyon Degeneracy
• Discrete Information from CHL Black Holes
• The mixed black hole partition function for the STU model
• Genus Two Surface and Quarter BPS Dyons: The Contour Prescription
• On walls of marginal stability in N=2 string theories
• Subleading Correction to Statistical Entropy for BMPV Black Hole
• A Geometric Derivation of the Dyon Wall-Crossing Group