Inflationary Dilatonic de Sitter Universe from Super Yang - Mills Theory Perturbed by Scalars and Spinors

TL;DR

This paper investigates how a dilaton field influences inflationary dynamics in a super Yang-Mills theory context, showing that the dilaton can either slow down or accelerate inflation depending on initial conditions, with late-time decay.

Contribution

It introduces a novel analysis of dilaton effects on inflation within a super Yang-Mills framework using the AdS/CFT correspondence and quantum corrections.

Findings

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

At late times, the dilaton decays exponentially.

Different scenarios for a dilatonic de Sitter universe are analyzed.

Abstract

In this paper a quantum N = 4 super Yang-Mills theory perturbed by dilaton-coupled scalars and spinor fields is considered. The induced effective action for such a theory is calculated on a dilaton-gravitational background using the conformal anomaly found via the 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 the dilaton on the scale factor (this corresponds to an 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. Different possible cases corresponding to a dilatonic dS Universe are analyzed with respect to the equations of motion.