Space-filling D3-brane within coset approach

TL;DR

This paper derives the on-shell component action of a space-filling D3-brane, specifically the N=1 supersymmetric Born-Infeld action, using a nonlinear realization approach with a new Goldstone superfield.

Contribution

It introduces a novel covariant Bianchi identity via a new bosonic Goldstone superfield, enabling a simple, covariant form of the D3-brane action in supersymmetric context.

Findings

Derived the component on-shell action of the D3-brane

Constructed a covariant Bianchi identity with a new Goldstone superfield

Presented a simple, covariant form of the action

Abstract

We derive the component on-shell action of the space-filling D3-brane, {\it i.e.} $N=1$ supersymmetric Born-Infeld action, within the nonlinear realization approach. The covariant Bianchi identity defining the $N=1$, $d=4$ vector supermultiplet has been constructed by introducing a new bosonic Goldstone superfield associated with the generator of the $U(1)$ group, which transforms to each other the spinor generators of unbroken and spontaneously broken $N=1$, $d=4$ supersymmetries. The first component of this Goldstone superfield is the auxiliary field of the vector supermultiplet and, therefore, the Bianchi identity can be properly defined. The component action of the D3-brane has a very simple form, being written in terms of derivatives covariant with respect to spontaneously broken supersymmetry - it just mimics its bosonic counterpart.