Covariant Field Equations of the M Theory Five-Brane

TL;DR

This paper derives covariant equations of motion for the M theory five-brane from superspace, demonstrating their reduction to 4-brane equations governed by the Born-Infeld action in ten dimensions.

Contribution

It provides the first fully covariant component form of the five-brane equations of motion from superspace, linking eleven-dimensional M theory to ten-dimensional brane dynamics.

Findings

Derived covariant 6D equations of motion for the 5-brane.

Showed reduction to 4-brane equations in 10D with Born-Infeld action.

Established connection between M theory five-brane and D-brane dynamics.

Abstract

The component form of the equations of motion for the 5-brane in eleven-dimensions is derived from the superspace equations. These equations are fully covariant in six-dimensions. It is shown that double-dimensional reduction of the bosonic equations gives the equations of motion for a 4-brane in ten dimensions governed by the Born-Infeld action.