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

TL;DR

This paper derives a macroscopic wall crossing formula for N=4 dyons by analyzing multi-centered black hole dynamics, aligning with microscopic spectrum results in heterotic string theory on T^6.

Contribution

It provides a new macroscopic derivation of the wall crossing formula for N=4 dyons, including non-primitive cases, matching microscopic predictions.

Findings

Derived the wall crossing formula from black hole dynamics.

Confirmed agreement with microscopic dyon spectrum in heterotic string theory.

Extended the analysis to non-primitive dyons.

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.