N=2 Superfields and the M-Fivebrane

TL;DR

This paper develops a manifestly N=2 supersymmetric framework for the M-fivebrane with threebrane solitons, deriving effective equations that reproduce the Seiberg-Witten equations for N=2 super-Yang-Mills theory.

Contribution

It introduces an N=2 superfield formulation of the M-fivebrane and derives the complete Seiberg-Witten equations from this supersymmetric perspective.

Findings

Derived effective equations for threebranes in N=2 supersymmetry.

Provided a simple derivation using an N=2 superfield generalisation of the Seiberg-Witten differential.

Reproduced the full Seiberg-Witten equations of motion for N=2 super-Yang-Mills.

Abstract

In this paper we provide a manifestly N=2 supersymmetric formulation of the M-fivebrane in the presence of threebrane solitons. The superspace form of four-dimensional effective equations for the threebranes are readily obtained and yield the complete Seiberg-Witten equations of motion for N=2 super-Yang-Mills. A particularly simple derivation is given by introducing an N=2 superfield generalisation of the Seiberg-Witten differential.