Holographic cosmology from \u201cdimensional reduction\u201d of N = 4 SYM vs. AdS5\xd7 S5

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. AdS5 × S5 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.