Chiral Zero Modes on Intersecting Heterotic 5-branes

TL;DR

This paper demonstrates the existence of chiral zero modes localized on intersecting heterotic 5-branes, providing a brane-world scenario within heterotic string theory by explicitly solving the Dirac equation in a constructed background.

Contribution

It constructs a heterotic background with intersecting 5-branes and explicitly solves the Dirac equation, revealing localized chiral zero modes and a Randall-Sundrum II like setup.

Findings

Existence of chiral zero modes on intersecting heterotic 5-branes

Explicit solution of the Dirac equation in this background

Realization of a brane-world scenario in heterotic string theory

Abstract

We show that there exist two 27 and one 27bar of E6, net one chiral supermultiplet as zero modes localized on the intersecting 5-branes in the E8 x E8 heterotic string theory. A heterotic background is constructed by the standard embedding in the smeared solution, and the Dirac equation is solved explicitly on this background. It provides, after a compactification of some of the transverse dimensions, a Randall-Sundrum II like brane-world set-up in heterotic string theory.