# Holographic cosmology from "dimensional reduction" of ${\cal N}=4$ SYM vs. $AdS_5\times S^5$

## TL;DR

This paper introduces a novel method to derive holographic cosmology models by reducing higher-dimensional duals of field theories, with a specific example involving modified ${
m N}=4$ SYM and $AdS_5\times S^5$, highlighting potential at strong coupling.

## Contribution

It proposes a new dimensional reduction approach to obtain 3+1D holographic cosmology models from 3D field theories, applicable to various top-down holographic setups.

## Key findings

- Perturbative models do not match observations.
- At strong coupling, models may align better with data.
- The mechanism is broadly applicable to different holographic models.

## Abstract

We propose a way to obtain holographic cosmology models for 3+1 dimensional cosmologies vs. 3 dimensional field theories from a "dimensional reduction" procedure, obtained by integrating over the time direction, of (modifed) standard holographic duals of 3+1 dimensional field theories. The example of a modified ${\cal N}=4$ SYM vs. $AdS_5\times S^5$ is presented, and in perturbation theory doesn't match observations, though at strong coupling it might. But the proposed mechanism is more general, and it could in principle be applied to other top down holographic models.