Supersymmetric Born-Infeld from the D9-brane

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.