Open String Wavefunctions in Warped Compactifications

TL;DR

This paper studies open string wavefunctions in warped compactifications, deriving warped Kahler potentials, analyzing flux effects on fermionic modes, and computing warping corrections to Yukawa couplings in string theory models.

Contribution

It provides a detailed analysis of open string wavefunctions in warped backgrounds, including flux effects and warping corrections to Kahler potentials and Yukawa couplings, extending previous models.

Findings

Fluxes couple to fermionic wavefunctions, altering their behavior.

Warping corrections to Yukawa couplings are computed in simple models.

Modified wavefunction dependence ensures supersymmetry consistency.

Abstract

We analyze the wavefunctions for open strings in warped compactifications, and compute the warped Kahler potential for the light modes of a probe D-brane. This analysis not only applies to the dynamics of D-branes in warped backgrounds, but also allows to deduce warping corrections to the closed string Kahler metrics via their couplings to open strings. We consider in particular the spectrum of D7-branes in warped Calabi-Yau orientifolds, which provide a string theory realizations of the Randall-Sundrum scenario. We find that certain background fluxes, necessary in the presence of warping, couple to the fermionic wavefunctions and qualitatively change their behavior. This modified dependence of the wavefunctions are needed for consistency with supersymmetry, though it is present in non-supersymmetric vacua as well. We discuss the deviations of our setup from the RS scenario and, as an application of our results, compute the warping corrections to Yukawa couplings in a simple model. Our analysis is performed both with and without the presence of D-brane world-volume flux, as well as for the case of backgrounds with varying dilaton.