A MANIFESTLY N=2 SUPERSYMMETRIC BORN–INFELD ACTION

Abstract

A manifestly N=2 supersymmetric completion of the four-dimensional Nambu–Goto–Born–Infeld action, which is self-dual with respect to electric–magnetic duality, is constructed in terms of an Abelian N=2 superfield strength W in the conventional N=2 superspace. A relation to the known N=1 supersymmetric Born–Infeld action in N=1 superspace is established. The action found can be considered either as the Goldstone action associated with a partial breaking of N=4 supersymmetry down to N=2, with the N=2 vector superfield being a Goldstone field, or, equivalently, as the gauge-fixed superfield action of a (D-3)-brane in flat six-dimensional ambient space–time.