N=3 supersymmetric Born-Infeld theory

TL;DR

This paper develops an off-shell N=3 supersymmetric extension of the abelian Born-Infeld action in four dimensions, introducing a new interaction structure and a Legendre-type representation that encompasses various self-dual nonlinear extensions.

Contribution

It constructs the first off-shell N=3 supersymmetric Born-Infeld action with a novel interaction structure and a Legendre-type formulation.

Findings

The interaction part contains only terms of order 4k in superfield strengths.

The bosonic BI action emerges after eliminating auxiliary tensor fields.

A wide class of self-dual nonlinear extensions are compatible with off-shell N=3 supersymmetry.

Abstract

We construct an off-shell N=3 supersymmetric extension of the abelian D=4 Born-Infeld action starting from the action of supersymmetric Maxwell theory in N=3 harmonic superspace. A crucial new feature of the N=3 super BI action is that its interaction part contains only terms of the order 4k in the N=3 superfield strengths. The correct component bosonic BI action arises as the result of elimination of auxiliary tensor field which is present in the off-shell N=3 vector multiplet in parallel with the gauge field strength. In this new Legendre-type representation, the bosonic BI action is fully specified by a real function of the single variable quartic in the auxiliary tensor field. The generic choice of this function amounts to a wide set of self-dual nonlinear extensions of the Maxwell action. All of them admit an off-shell N=3 supersymmetrization.