Instabilities of D-brane Bound States and Their Related Theories

TL;DR

This paper studies the Gregory-Laflamme instability in bound states of branes in string and M-theory, identifying stability boundaries and implications for related theories like OM and NCOS.

Contribution

It analyzes the stability of multi-brane systems, extends the Correlated Stability Conjecture, and explores instabilities in theories like OM and NCOS at finite temperatures.

Findings

Identified thermodynamic stability boundaries for brane bound states.

Supported the Correlated Stability Conjecture in these systems.

Found critical temperatures for instabilities in OM and NCOS theories.

Abstract

We investigate the Gregory-Laflamme instability for bound states of branes in type II string theory and in M-theory. We examine systems with two different constituent branes: for instance, D3-F1 or D4-D0. For the cases in which the Gregory-Laflamme instability can occur, we describe the boundary of thermodynamic stability. We also present an argument for the validity of the Correlated Stability Conjecture, generalizing earlier work by Reall. We discuss the implications for OM theory and NCOS theory, finding that in both cases, there exists some critical temperature above which the system becomes unstable to clumping of the open strings/membranes.