Chiral matter wavefunctions in warped compactifications

TL;DR

This work develops a perturbative framework to compute chiral bifundamental wavefunctions for open strings at intersecting 7-branes in warped Type IIB/F-theory backgrounds. It introduces a weak-warping expansion in the unwarped spectrum, yielding warped zero modes as a controlled series with warp-dependent coefficients, and treats both unmagnetized and magnetized intersections. The authors provide explicit results for constant, along-curve, and variable warp profiles, including exact and perturbative solutions, and analyze implications for the warped effective field theory, including kinetic terms and D-terms. The findings facilitate constructing warped EFTs for chiral matter and can impact MSSM-like local models by informing warped Kähler metrics and soft-term structure, while outlining avenues for global embeddings and flux interactions.

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.

Figures (1)

• Figure 1: Local view of the intersection of $\mathrm{D} 7$-branes described by \ref{['eq:angle']}.