N=2 superfields and the M-fivebrane

N = 2 Superfields and the M-fivebrane

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 gen...

M Theory Fivebrane and Sqcd

M-Fivebrane from the Open Supermembrane

Covariant field equations of M-fivebrane in eleven dimensional curved superspace are obtained from the requirement of κ-symmetry of an open supermembrane ending on a fivebrane. The worldvolume of the latter is a (6|16) dimensional supermanifold embedded in the (11|32) dimensional target superspace. The κ-symmetry of the system imposes a constraint on this embedding, and a constraint on a modifi...

Gauge Fields and M-fivebrane Dynamics

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 ...

Monopole Dynamics from the M - fivebrane

We study the BPS states of the M-fivebrane which correspond to monopoles of N = 2 SU(2) gauge theory. Far away from the centres of the monopoles these states may be viewed as solitons in the Seiberg-Witten effective action. It is argued that these solutions are smooth and some properties of their moduli space are discussed.