Wall Crossing Formula for N=4 Dyons: A Macroscopic Derivation

Abstract

We derive the wall crossing formula for the decay of a quarter BPS dyon into a pair of half-BPS dyons by analyzing the quantum dynamics of multi-centered black holes in N=4 supersymmetric string theories. Our analysis encompasses the cases where the final decay products are non-primitive dyons. The results are in agreement with the microscopic formula for the dyon spectrum in the special case of heterotic string theory on T^6.

LaTeX file, 12 pages; v2: minor changes

References in corpus (5)

• Comments on the Spectrum of CHL Dyons
• Two Centered Black Holes and N=4 Dyon Spectrum
• N=8 Dyon Partition Function and Walls of Marginal Stability
• Generalities of Quarter BPS Dyon Partition Function and Dyons of Torsion Two
• Crossing the Wall: Branes vs. Bundles

Cited by in corpus (4)

• Black holes admitting a Freudenthal dual
• Genus Two Surface and Quarter BPS Dyons: The Contour Prescription
• On walls of marginal stability in N=2 string theories
• Dyon dynamics near marginal stability and non-BPS states