The Gregory-Laflamme instability for the D2-D0 bound state

TL;DR

This paper investigates the Gregory-Laflamme instability in the D2-D0 bound state, showing how non-extremality influences the onset of instability through thermodynamic and numerical analyses, with implications for non-commutative field theories.

Contribution

It determines the instability threshold for the D2-D0 bound state using thermodynamic and numerical methods, highlighting the role of non-extremality and non-commutative effects.

Findings

Instability occurs at finite non-extremality without D0-branes.

Most D0-branes lead to very small non-extremality for instability.

Thermodynamic analysis matches numerical linearized equations results.

Abstract

The D2-D0 bound state exhibits a Gregory-Laflamme instability when it is sufficiently non-extremal. If there are no D0-branes, the requisite non-extremality is finite. When most of the extremal mass comes from D0-branes, the requisite non-extremality is very small. The location of the threshhold for the instability is determined using a local thermodynamic analysis which is then checked against a numerical analysis of the linearized equations of motion. The thermodynamic analysis reveals an instability of non-commutative field theory at finite temperature, which may occur only at very long wavelengths as the decoupling limit is approached.