Inflation on the resolved warped deformed conifold

TL;DR

This paper investigates how the curvature of the Universe affects the dynamics of a D3-brane in a string theory inflation model, showing that curvature induces a transition from slow-roll to fast-roll behavior.

Contribution

It demonstrates that considering the Universe's curvature significantly alters the brane dynamics, challenging previous slow-roll assumptions in the model.

Findings

Curvature effects induce fast-roll dynamics of the D3-brane.

The model's slow-roll inflationary regime is destabilized by curvature.

Implications for string theory inflation models are discussed.

Abstract

Braneworld inflation on the resolved warped deformed conifold is represented by the dynamics of a D3-brane probe with the world volume of a brane spanning the large dimensions of the observable Universe. This model was recently proposed as a string theory candidate for slow-roll inflationary cosmology in hep-th/0511254. During inflation, the scalar curvature of the Universe is determined by the Hubble scale. We argue that taking into account the curvature of the inflationary Universe renders dynamics of the D3-brane fast-roll deep inside the warped throat.