Gauge Five Brane Moduli In Four-Dimensional Heterotic Models

TL;DR

This paper derives a Kahler potential for four-dimensional heterotic M-theory that incorporates gauge five brane moduli, enabling a more complete understanding of brane dynamics in these models.

Contribution

It provides the first Kahler potential including gauge five brane moduli in heterotic M-theory and weakly coupled heterotic string compactifications.

Findings

Kahler potential includes gauge five brane moduli.

Results valid when soliton width is much smaller than Calabi-Yau size.

Truncating gauge five brane moduli is generally inconsistent.

Abstract

We present a Kahler potential for four dimensional heterotic M-theory which includes moduli describing a gauge five brane living on one of the orbifold fixed planes. This result can also be thought of as describing compactifications of either of the weakly coupled heterotic strings in the presence of a gauge five brane. This is the first example of a Kahler potential in these theories which includes moduli describing background gauge field configurations. Our results are valid when the solitons width is much smaller than the size scale of the Calabi-Yau threefold and can be used to provide a more complete description of some moving brane scenarios. We point out that, in general, it is not consistent to truncate away the gauge five brane moduli in a simple manner.