Strings and D-Branes at High Temperature

TL;DR

This paper investigates the thermodynamics of string and D-brane gases near the Hagedorn temperature, revealing that D-branes tend to fill space at high temperatures due to the dominance of open strings.

Contribution

It introduces a coupled Boltzmann equation framework to describe the thermodynamics of strings and D-branes near the Hagedorn transition, highlighting the growth of D-branes at high temperature.

Findings

Open string sector dominates the distributions near the transition

D-branes expand to fill space at high temperature

Coupled Boltzmann equations effectively model the thermodynamics

Abstract

The thermodynamics of a gas of strings and D-branes near the Hagedorn transition is described by a coupled set of Boltzmann equations for weakly interacting open and closed long strings. The resulting distributions are dominated by the open string sector, indicating that D-branes grow to fill space at high temperature.