Deconstructing the D0-D6 system

TL;DR

This paper characterizes the full classical moduli space of two-centered D0-D6 brane solutions in the STU model, revealing that marginal stability conditions alone do not ensure regular supergravity solutions.

Contribution

It provides a complete analysis of the moduli space and demonstrates the limitations of marginal stability conditions for regular solutions in this context.

Findings

Complete classical moduli space characterized

Marginal stability conditions are insufficient for regularity

Results apply broadly due to U-duality invariance

Abstract

We find the complete classical moduli space of two-centered supersymmetric solutions carrying D0 and D6 brane charge in the STU model delimited by walls of marginal stability of co-dimension one. U-duality guarantees our conclusions hold for any BPS state with negative quartic invariant. The analysis explicitly shows that the conditions of marginal stability, i.e. the integrability conditions, are generically insufficient to provide a regular supergravity solution in this model.