Matrix Strings, Compactification Scales and Hagedorn Transition

TL;DR

This paper investigates how the Hagedorn temperature emerges from eleven-dimensional physics using the Matrix Model of Strings, revealing that it varies among models and exploring the role of S-duality in this context.

Contribution

It provides non-perturbative insights into the origin of the Hagedorn temperature and its dependence on different Matrix String models, including the effects of S-duality.

Findings

Hagedorn temperature is model-dependent.

S-duality transformation behavior is outlined.

Non-perturbative aspects of string thermodynamics are explored.

Abstract

In this work we use the Matrix Model of Strings in order to extract some non-perturbative information on how the Hagedorn critical temperature arises from eleven-dimensional physics. We study the thermal behavior of M and Matrix theories on the compactification backgrounds that correspond to string models. We obtain some information that allows us to state that the Hagedorn temperature is not unique for all Matrix String models and we are also able to sketch how the $S$-duality transformation works in this framework.