Chiral Zeromodes on Vortex-type Intersecting Heterotic Five-branes

TL;DR

This paper investigates localized chiral zeromodes on intersecting heterotic five-branes by solving the gaugino Dirac equation, finding a net of one chiral zeromode consistent with previous domain-wall results.

Contribution

It provides a detailed spectrum analysis of zeromodes on intersecting five-branes, confirming the existence of a single net chiral zeromode in this configuration.

Findings

Identifies three localized normalizable zeromodes with specific chiralities.

Confirms the net chiral zeromode matches previous domain-wall results.

Supports the idea of localized chiral matter in heterotic five-brane systems.

Abstract

We solve the gaugino Dirac equation on a smeared intersecting five-brane solution in E_8\times E_8 heterotic string theory to search for localized chiral zeromodes on the intersection. The background is chosen to depend on the full two-dimensional overall transverse coordinates to the branes. Under some appropriate boundary conditions, we compute the complete spectrum of zeromodes to find that, among infinite towers of Fourier modes, there exist only three localized normalizable zeromodes, one of which has opposite chirality to the other two. This agrees with the result previously obtained in the domain-wall type solution, supporting the claim that there exists one net chiral zeromode localized on the heterotic five-brane system.