Local models for intersecting brane worlds

TL;DR

This paper constructs local intersecting D6-brane models on non-compact Calabi-Yau threefolds, enabling the study of chiral gauge theories with potential phenomenological applications, including Standard Model-like configurations.

Contribution

It introduces simple rules for building 3-cycles with intersecting D6-branes, facilitating computation of spectra, tadpoles, and supersymmetry, and provides explicit examples with realistic gauge groups.

Findings

Several models with Standard Model-like gauge groups and three generations.

Mirror symmetry relates models to other D-brane constructions.

Some configurations lift to G_2 manifolds with chiral gauge theories.

Abstract

We describe the construction of configurations of D6-branes wrapped on compact 3-cycles intersecting at points in non-compact Calabi-Yau threefolds. Such constructions provide local models of intersecting brane worlds, and describe sectors of four-dimensional gauge theories with chiral fermions. We present several classes of non-compact manifolds with compact 3-cycles intersecting at points, and discuss the rules required for model building with wrapped D6-branes. The rules to build 3-cycles are simple, and allow easy computation of chiral spectra, RR tadpoles and the amount of preserved supersymmetry. We present several explicit examples of these constructions, some of which have Standard Model like gauge group and three quark-lepton generations. In some cases, mirror symmetry relates the models to other constructions used in phenomenological D-brane model building, like D-branes at singularities. Some simple N=1 supersymmetric configurations may lead to relatively tractable G_2 manifolds upon lift to M-theory, which would be non-compact but nevertheless yield four-dimensional chiral gauge field theories.