# Compactification Effects in D-brane Inflation

## TL;DR

This paper calculates the scalar potential for a D3-brane in a warped conifold, including various perturbations and flux effects, and cross-verifies results with dual gauge theory, aiding in understanding brane inflation.

## Contribution

It provides a systematic method to include compactification effects in D3-brane potential calculations within stabilized compactifications.

## Key findings

- Derived the D3-brane scalar potential with UV perturbations and fluxes.
- Reproduced potential results using dual gauge theory.
- Represented nonperturbative effects via supergravity solutions with IASD fluxes.

## Abstract

We determine the scalar potential for a D3-brane in a warped conifold background subject to general ultraviolet perturbations. Incorporating the effects of imaginary anti-self-dual (IASD) fluxes and four-dimensional curvature at the nonlinear level, we compute the leading terms in the D3-brane potential. We then provide strong cross-checks of our results by reproducing them in the dual gauge theory. Finally, we observe that the D3-brane potential induced by nonperturbative effects on D7-branes can be represented by a ten-dimensional supergravity solution containing suitable IASD fluxes. Our method allows for the systematic inclusion of compactification effects and serves to constrain the D3-brane effective action in a large class of stabilized compactifications.