Holographic cosmology from "dimensional reduction" of $\mathcal{N}=4$ SYM vs. $Ad{S}_5\times S^5$

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 $\mathcal{N}=4$ SYM vs. $Ad{S}_5\times S^5$ 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.

15 pages, no figures; clarifications about Wick rotation and susy added, references added

References in corpus (3)

• From Planck data to Planck era: Observational tests of Holographic Cosmology
• Gauge Theories with Time Dependent Couplings and their Cosmological Duals
• Constraining holographic cosmology using Planck data

Cited by in corpus (3)

• Cosmology at the end of the world
• Gravitational collapse in AdS: instabilities, turbulence, and information
• Transport and response coefficients in second-order dissipative relativistic hydrodynamics with quantum corrections: probing the quark-gluon plasma