Non-minimally Coupled Tachyonic Inflation in Warped String Background

TL;DR

This paper investigates non-minimal coupling of tachyon fields in warped string backgrounds, showing how parameter choices and warped compactification can produce viable slow-roll inflation consistent with observations.

Contribution

It demonstrates the importance of parameter selection and warped compactification in achieving observationally consistent tachyonic inflation models.

Findings

Correct parameter choices enable slow-roll inflation.

Warped compactification aligns model predictions with observations.

Non-minimal coupling alone does not produce suitable inflationary potential.

Abstract

We show that the non-minimal coupling of tachyon field to the scalar curvature, as proposed by Piao et al, with the chosen coupling parameter does not produce the effective potential where the tachyon field can roll down from T=0 to large $T$ along the slope of the potential. We find a correct choice of the parameters which ensures this requirement and support slow-roll inflation. However, we find that the cosmological parameter found from the analysis of the theory are not in the range obtained from observations. We then invoke warped compactification and varying dilaton field over the compact manifold, as proposed by Raeymaekers, to show that in such a setup the observed parameter space can be ensured.