N=2 Super-Born-Infeld from Partially Broken N=3 Supersymmetry in d=4

TL;DR

This paper uses non-linear realization techniques to connect supersymmetry multiplets with Goldstone superfields, deriving invariant actions that describe D3-branes in six dimensions within the framework of supersymmetric Born-Infeld theory.

Contribution

It introduces a novel approach to relate supersymmetry multiplets to Goldstone superfields and constructs an invariant action for a D3-brane in six dimensions.

Findings

Derived non-linear transformation laws with extra supersymmetry.

Constructed an invariant action as the low energy limit of supersymmetric Born-Infeld theory.

Connected supersymmetry breaking to D3-brane dynamics in six dimensions.

Abstract

We employ the non-linear realization techniques to relate the N=1 chiral, and the N=2 vector multiplets to the Goldstone spin 1/2 superfield arising from partial supersymmetry breaking of N=2 and N=3 respectively. In both cases, we obtain a family of non-linear transformation laws realizing an extra supersymmetry. In the N=2 case, we find an invariant action which is the low energy limit of the supersymmetric Born-Infeld theory expected to describe a D3-brane in six dimensions.