Towards the field theory of the Standard Model on fractional D6-branes on T6/Z6': Yukawa couplings and masses

TL;DR

This paper explores the calculation of Yukawa couplings and mass generation mechanisms for the Standard Model embedded in fractional intersecting D6-branes on a specific orbifold, advancing string theory model building.

Contribution

It introduces methods to compute Yukawa couplings and mass terms for vector-like particles in a string theory setup involving fractional D6-branes on T6/Z6'.

Findings

Derived perturbative Yukawa couplings for the model.

Identified two mechanisms for mass generation of vector-like particles.

Enhanced understanding of Standard Model realization in string theory.

Abstract

We present the perturbative Yukawa couplings of the Standard Model on fractional intersecting D6-branes on T6/Z6' and discuss two mechanisms of creating mass terms for the vector-like particles in the matter spectrum, through perturbative three-point couplings and through continuous D6-brane displacements.