Inflationary Dilatonic de Sitter Universe from cal N = 4 Super Yang - Mills Theory Perturbed by Scalars

TL;DR

This paper investigates how a dilaton field influences inflation in a de Sitter universe derived from N=4 super Yang-Mills theory, showing that dilaton dynamics can either slow down or accelerate inflation, with implications for universe stability.

Contribution

It introduces a novel analysis of dilaton effects on inflation using quantum corrections from super Yang-Mills theory via AdS/CFT correspondence.

Findings

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

Late-time dilaton decay is exponential.

Stability analysis suggests potential for eternal inflation.

Abstract

In this paper a quantum N = 4 super Yang-Mills theory perturbed by dilaton-coupled scalars, is considered. The induced 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 (using the large N method) as a quantum correction to the classical gravity action with cosmological constant we study the effect from dilaton to the scale factor (which corresponds to the inflationary universe without dilaton). It is shown that, depending 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. At the end of this work, we consider the question how the perturbation of the solution for the scale factor affects the stability of the solution for the equations of motion and therefore the stability of the Inflationary Universe, which could be eternal.