Wave Functions and Yukawa Couplings in Local String Compactifications

TL;DR

This paper derives explicit wavefunctions and Yukawa couplings for local D7 brane models in IIB string theory with known metrics, enabling detailed phenomenological analysis.

Contribution

It provides analytic solutions for matter wavefunctions and Yukawa couplings in local string compactifications with explicit metrics, covering various gauge backgrounds.

Findings

Explicit wavefunctions for matter fields derived

Yukawa couplings computed from wavefunction overlaps

Applicable to both supersymmetric and non-supersymmetric models

Abstract

We consider local models of magnetised D7 branes in IIB string compactifications, focussing on cases where an explicit metric can be written for the local 4-cycle. The presence of an explicit metric allows analytic expressions for the gauge bundle and for the chiral matter wavefunctions through solving the Dirac and Laplace equations. The triple overlap of the normalised matter wavefunctions generates the physical Yukawa couplings. Our main examples are the cases of D7 branes on P1xP1 and P2. We consider both supersymmetric and non-supersymmetric gauge backgrounds and both Abelian and non-Abelian gauge bundles. We briefly outline potential phenomenological applications of our results.