Spinflation with Angular Potentials

TL;DR

This paper explores how angular-dependent potentials in brane inflation models influence the inflationary dynamics, showing that angular effects can enhance the total amount of inflation.

Contribution

It provides a detailed analysis of angular dependence in brane inflation potentials, including numerical solutions and an analytic approximation for e-foldings.

Findings

Angular dependence is a next-to-leading order correction to radial motion.

Additional angular dependence increases the total amount of inflation.

Derived an analytic formula for e-foldings based on compactification parameters.

Abstract

We investigate in detail the cosmological consequences of realistic angular dependent potentials in the brane inflation scenario. Embedding a warped throat into a compact Calabi-Yau space with all moduli stabilized breaks the no-scale structure and induces angular dependence in the potential of the probe D3-brane. We solve the equations of motion from the DBI action in the warped deformed conifold including linearized perturbations around the imaginary self-dual solution. Our numerical solutions show that angular dependence is a next to leading order correction to the dominant radial motion of the brane, however, just as angular motion typically increases the amount of inflation (spinflation), having additional angular dependence also increases the amount of inflation. We also derive an analytic approximation for the number of e-foldings along the DBI trajectory in terms of the compactification parameters.