String cosmology from a novel renormalization perspective

TL;DR

This paper investigates the stability of a specific time-dependent string configuration, revealing it as an isolated fixed point in the renormalization group flow, which has implications for string cosmology.

Contribution

It introduces a novel renormalization perspective to analyze string cosmology, demonstrating the fixed point nature of certain time-dependent configurations.

Findings

The configuration is an isolated fixed point of the $eta$-function flow.

Linearization around the configuration is not appropriate.

Implications for stability in string cosmology models.

Abstract

We study small perturbations around the exactly marginal time-dependent string configuration of [1], and demonstrate the lack of the appropriate linearization. This implies that this configuration is an isolated fixed point of the $\alpha^{'}$ flow in the pertinent space of theories.