Holography and String Dynamics in Time-dependent Backgrounds

TL;DR

This paper explores the behavior of D-branes in a time-dependent background, deriving the dual holographic description, and providing a concrete example of holography in a cosmological context.

Contribution

It introduces a specific time-dependent non-commutative field theory and constructs the corresponding holographic dual in a cosmological setting.

Findings

Derived the metric and fluxes for the dual holographic theory.

Established a concrete example of holography in a cosmological background.

Analyzed the dynamics of D-branes in a smooth time-dependent environment.

Abstract

We study the dynamics of D-branes in a smooth time-dependent background. The theory on the branes is a time-dependent non-commutative field theory. We find the metric and fluxes that determine the dual holographic closed string theory. This provides a concrete example of holography in a cosmological setting.