# Holographic Cosmology and Phase Transitions of SYM theory

## TL;DR

This paper investigates the dynamics of strongly coupled ${
m N}=4$ SYM theory in cosmological backgrounds using AdS/CFT, revealing phase transitions and potential links to inflation.

## Contribution

It introduces a novel analysis of SYM theory on FRW backgrounds with cosmological constants and dark radiation, exploring phase transitions via holography.

## Key findings

- Identifies a phase transition between confined and deconfined phases.
- Shows the influence of cosmological backgrounds on SYM dynamics.
- Suggests possible connections to inflationary cosmology.

## Abstract

We study the time development of strongly coupled ${\cal N}=4$ supersymmetric Yang Mills (SYM) theory on cosmological Friedmann-Robertson-Walker (FRW) backgrounds via the AdS/CFT correspondence. We implement the cosmological background as a boundary metric fulfilling the Friedmann equation with a four-dimensional cosmological constant and a dark radiation term. We analyze the dual bulk solution of the type IIB supergravity and find that the time-dependence of the FRW background strongly influences the dynamical properties of the SYM theory. We in particular find a phase transition between a confined and a deconfined phase. We also argue that some cosmological solutions could be related to the inflationary scenario.