Gauge Fields and M-Fivebrane Dynamics

TL;DR

This paper derives the equations of motion for an M-fivebrane with threebrane solitons, matching Seiberg-Witten effective action results and exploring higher derivative terms predicted by M theory.

Contribution

It provides a detailed derivation of both vector and scalar equations of motion for the M-fivebrane in this context, extending previous work.

Findings

Equations of motion match Seiberg-Witten effective action

Includes quantum corrections and higher derivative terms

Extends previous scalar-only derivations

Abstract

In this paper we obtain both the vector and scalar equations of motion of an M-fivebrane in the presence of threebrane solitons. The resulting equations of motion are precisely those obtained from the Seiberg-Witten low energy effective action for N=2 Yang-Mills, including all quantum corrections. This analysis extends the work of a previous paper which derived the scalar equations of motion but not in detail the vector equations. We also discuss some features of an infinite number of higher derivative terms predicted by M theory.