Two-field Kähler moduli inflation on large volume moduli stabilization

Abstract

In this paper we present a two-field inflation model, which distinguishes itself with a non-canonical kinetic lagrangian and comes from the large volume approach to the moduli stabilization in flux compactification of type IIB superstring on a Calabi-Yau orientifold of $h^{(1,2)} > h^{(1,1)}\geq 4$. The Kähler moduli are classified as volume modulus, heavy moduli and two light moduli. The axion-dilaton, complex structure moduli and all heavy Kähler moduli including the volume modulus are frozen by nonperturbatively corrected flux superpotential and the $α^\prime$-corrected Kähler potential in the large volume limit. The minimum of the scalar potential at which the heavy moduli are stabilized provides the dominant potential energy for the survived light Kähler moduli. We consider a simplified case where the axionic components in the light Kähler moduli are further stabilized at the potential minimum and only the geometrical components are taken as the scalar fields to drive an assisted-like inflation. For a certain range of moduli stabilization parameters and inflation initial conditions, we obtain a nearly flat power spectrum of the curvature perturbation, with $n_s\approx 0.96$ at Hubble-exit, and an inflationary energy scale of $3 \times 10^{14}$ GeV. In our model, significant correlation exists between the curvature and isocurvature perturbations on super-Hubble scales so that at the end of inflation a great deal of the curvature power spectrum originates from this correlation.