The Standard Model on the Quintic

TL;DR

This paper develops a geometric framework for intersecting D6-brane models in type IIA string theory on the quintic Calabi-Yau, constructing a Standard Model-like spectrum with implications for phenomenology and M-theory lifts.

Contribution

It introduces a novel geometric approach to intersecting brane models on the quintic Calabi-Yau, enabling the realization of Standard Model spectra and advancing supersymmetric orientifold constructions.

Findings

Constructed a brane world scenario with Standard Model gauge group and chiral spectrum.

Provided technical methods for building supersymmetric orientifold vacua with intersecting D-branes.

Discussed the potential for lifting D6-brane configurations to M-theory on G_2 manifolds.

Abstract

We describe the general geometrical framework of brane world constructions in orientifolds of type IIA string theory with D6-branes wrapping 3-cycles in a Calabi-Yau 3-fold, and point out their immediate phenomenological relevance. These branes generically intersect in points, and the patterns of intersections govern the chiral fermion spectra and issues of gauge and supersymmetry breaking in the low energy effective gauge theory on their world volume. In particular, we provide an example of an intersecting brane world scenario on the quintic Calabi-Yau with the gauge group and the chiral spectrum of the Standard Model and discuss its properties in some detail. Additionally we explain related technical advancements in the construction of supersymmetric orientifold vacua with intersecting D-branes. Six-dimensional orientifolds of this type generalize the rather limited set of formerly known orbifolds of type I, and the presented techniques provide a short-cut to obtain their spectra. Finally, we comment on lifting configurations of intersecting D6-branes to M-theory on non-compact G_2 manifolds.