On the Hagedorn behavior of the superstring propating in a cosmological time dependent background

TL;DR

This paper investigates the thermodynamic behavior of type IIB superstrings in a time-dependent background, focusing on the Hagedorn temperature and real-time thermodynamics using LvN quantization.

Contribution

It applies LvN quantization to superstrings in a dynamic background, enabling the study of Hagedorn behavior and thermodynamics in non-static spacetime.

Findings

Hagedorn temperature as a function of thermalization time

Invariant density matrix constructed for time-dependent background

Insights into string thermodynamics in cosmological settings

Abstract

In this work the LvN quantization of the type IIB superstring is carried on in a time dependent plane wave background with a constant self-dual Ramond-Ramond 5-form and a linear dilaton in the light-like direction. Such an endeavour allows us to define an invariant density matrix and study important issues in real time string thermodynamics. In particular, the Hagendorn temperature is calculated as function of the thermalization time.