Supersymmetric Born-Infeld from the D9-brane

TL;DR

This paper derives the complete supersymmetric super Born-Infeld theory for the D9-brane using the superembedding approach, fixing it through the $$-constraint and calculating key components up to fifth order in fields.

Contribution

It provides the explicit form of the superfield strength component $f_{\alpha\beta}$ up to fifth order, advancing the understanding of supersymmetric D-brane effective actions.

Findings

Calculated $f_{\alpha\beta}$ up to order 5 in fields.

Confirmed the superembedding approach fixes the super Born-Infeld theory.

Derived equations of motion from the superfield strength.

Abstract

Using the superembedding approach, the full supersymmetric effective field theory of the D9-brane, super Born-Infeld theory, is fixed by the so called $\mathcal{F}$-constraint. The odd-odd components of the theory's super field strength, $f_{\alpha \beta}$, are implied by this constraint. Given $f_{\alpha \beta}$, the super Bianchi identities imply the theory's equations of motion. We calculate $f_{\alpha \beta}$ up to order 5 in fields, corresponding to order 6 in fields in the Lagrangian.