N=4, d=3 Born-Infeld theory in component approach

TL;DR

This paper constructs the on-shell component action for N=4, d=3 Born-Infeld theory using nonlinear realizations, highlighting the advantage of fermionic superfield formulations in systems with partial supersymmetry breaking.

Contribution

It provides a new component on-shell action for N=4, d=3 Born-Infeld theory based on nonlinear realizations, emphasizing the fermionic superfield approach.

Findings

Successful construction of the on-shell action.

Fermionic superfield formulation is preferable.

Clarification of partial supersymmetry breaking effects.

Abstract

Using the formalism of nonlinear realizations we construct the component on-shell action of the N=4,d=3 Born-Infeld theory, which is the action of N=2, d=3 vector supermultiplet, fixed by invariance with respect to the additional spontaneously broken N=2, d=3 supersymmetry. Our construction shows that dealing with the systems with partial breaking of supersymmetry with vector fields in the multiplet, it is preferrable to use their formulation in terms of fermionic superfields only.