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.

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.