Non-Abelian Brane Worlds: The Heterotic String Story

TL;DR

This paper explores heterotic string compactifications with stable bundles and five-branes, constructing models that are dual to Type I and D-brane configurations, including explicit three- and four-generation models.

Contribution

It introduces new heterotic compactification models with U(n) bundles and five-branes, providing explicit three- and four-generation examples with phenomenological relevance.

Findings

Constructed a four-generation Pati-Salam model.

Developed a three-generation Standard-like model.

Demonstrated duality with Type I and D-brane models.

Abstract

We discuss chiral supersymmetric compactifications of the SO(32) heterotic string on Calabi-Yau manifolds equipped with direct sums of stable bundles with structure group U(n). In addition we allow for non-perturbative heterotic five-branes. These models are S-dual to Type I compactifications with D9- and D5-branes, which by themselves are mirror symmetric to general intersecting D6-brane models. For the construction of concrete examples we consider elliptically fibered Calabi-Yau manifolds with SU(n) bundles given by the spectral cover construction. The U(n) bundles are obtained via twisting by line bundles. We present a four-generation Pati-Salam and a three-generation Standard-like model.