Two Centered Black Holes and N=4 Dyon Spectrum

Abstract

The exact spectrum of dyons in a class of N=4 supersymmetric string theories is known to change discontinuously across walls of marginal stability. We show that the change in the degeneracy across the walls of marginal stability can be accounted for precisely by the entropy of two centered small black holes which disappear as we cross the walls of marginal stability.

LaTeX file, 12 pages; v3: added footnote 2 regarding overall sign of the index, expanded footnote 3, added references

References in corpus (3)

• Comments on the Spectrum of CHL Dyons
• Re-Recounting Dyons in N=4 String Theory
• Exactly Soluble BPS Black Holes in Higher Curvature N=2 Supergravity

Cited by in corpus (19)

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• Generalities of Quarter BPS Dyon Partition Function and Dyons of Torsion Two
• Asymptotic Expansion of the N=4 Dyon Degeneracy
• Duality Orbits, Dyon Spectrum and Gauge Theory Limit of Heterotic String Theory on T^6
• N=2 Supersymmetric Black Attractors in Six and Seven Dimensions
• Wall Crossing Formula for N=4 Dyons: A Macroscopic Derivation
• Rare Decay Modes of Quarter BPS Dyons
• S-duality Action on Discrete T-duality Invariants
• On the dyon partition function in N=2 theories
• 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
• Three String Junction and N=4 Dyon Spectrum
• Kinematical Analogy for Marginal Dyon Decay
• Constraints on "rare" dyon decays
• On the internal structure of dyons in $\mathcal{N}=4$ super Yang-Mills theories
• The Spectra of Supersymmetric States in String Theory