Chiral matter wavefunctions in warped compactifications

TL;DR

This paper develops a perturbative method to compute wavefunctions of open strings between intersecting 7-branes in warped compactifications, advancing understanding of 4d chiral fermions in string theory.

Contribution

It introduces a perturbative approach for solving warped wavefunctions of open strings in IIB/F-theory, including effects of fluxes and warping.

Findings

Method for solving warped zero modes as a perturbative expansion.

Application to cases with and without worldvolume fluxes.

Insights into warped effective field theory for intersecting branes.

Abstract

We analyze the wavefunctions for open strings stretching between intersecting 7-branes in type IIB/F-theory warped compactifications, as a first step in understanding the warped effective field theory of 4d chiral fermions. While in general the equations of motion do not seem to admit a simple analytic solution, we provide a method for solving the wavefunctions in the case of weak warping. The method describes warped zero modes as a perturbative expansion in the unwarped spectrum, the coefficients of the expansion depending on the warping. We perform our analysis with and without the presence of worldvolume fluxes, illustrating the procedure with some examples. Finally, we comment on the warped effective field theory for the modes at the intersection.