Smeared D0 charge and the Gubser-Mitra conjecture

TL;DR

This paper extends the Gubser-Mitra conjecture proof to systems with smeared D0-brane charge, demonstrating the equivalence of dynamical and thermodynamic instabilities in these configurations.

Contribution

It generalizes Reall's partial proof of the Gubser-Mitra conjecture to include smeared D0-brane charges on various brane systems.

Findings

D0-brane charge smearing relates to no D0-charge systems.

Dynamical and thermodynamic instabilities coincide in examples.

Checks of the conjecture for complex systems like D4 with F1 and D0 charges.

Abstract

We relate a Dp or NS-brane with D0-brane charge smeared over its worldvolume to the system with no D0-charge. This allows us to generalise Reall's partial proof of the Gubser-Mitra conjecture. We show explicitly for specific examples that the dynamical instability coincides with thermodynamic instability in the ensemble where the D0-brane charge can vary. We also comment on consistency checks of the conjecture for more complicated systems, using the example of the D4 with F1 and D0 charges smeared on its worldvolume.