Quantum Cosmology from \cal{N} = 4 Super Yang - Mills Theory

TL;DR

This paper explores quantum cosmology derived from  super Yang-Mills theory coupled with conformal supergravity, analyzing how the dilaton influences inflationary dynamics through quantum corrections from the AdS/CFT correspondence.

Contribution

It introduces a novel approach to quantum cosmology by incorporating quantum corrections from  super Yang-Mills theory via the AdS/CFT correspondence, focusing on dilaton effects on inflation.

Findings

Dilaton can slow down or accelerate inflation depending on initial conditions.

At late times, the dilaton decays exponentially.

Quantum corrections significantly influence inflationary dynamics.

Abstract

We consider quantum \cal{N} = 4 super Yang-Mills theory interacting in a covariant way with \cal{N} = 4 conformal supergravity. The induced large N effective action for such a theory is calculated on a dilaton-gravitational background using the conformal anomaly found via AdS/CFT correspondence. Considering such an effective action as a quantum correction to the classical gravity action we study quantum cosmology. In particular, the effect from dilaton to the scale factor (which without dilaton corresponds to the inflationary universe) is investigated. It is shown that, dependent on the initial conditions for the dilaton, the dilaton may slow down, or accelerate, the inflation process. At late times, the dilaton is decaying exponentially.