Gauge Five Brane Moduli in Four Dimensional Heterotic M-theory

TL;DR

This paper derives a Kahler potential for heterotic M-theory that incorporates gauge bundle moduli, specifically focusing on gauge five branes, revealing the importance of these moduli in the theory.

Contribution

It provides the first explicit Kahler potential including gauge bundle moduli for heterotic M-theory, emphasizing the significance of gauge five brane moduli.

Findings

Gauge bundle moduli are essential and cannot be simply truncated.

The Kahler potential accounts for gauge five brane size and orientation.

Results are valid for small gauge five brane width.

Abstract

We present the first example of a Kahler potential for heterotic M-theory which includes gauge bundle moduli. These moduli describe the background gauge field configurations living on the orbifold fixed planes. We concentrate on the bundle moduli describing the size and SU(2) orientation of a gauge five brane - a soliton which is primarily composed of these gauge fields. Our results are valid when the width of this object is small compared to the overall size of the Calabi-Yau threefold. We find that, in general, it is not consistent to truncate away these moduli in a simple manner.