Superbranes and Super Born-Infeld Theories from Nonlinear Realizations

TL;DR

This paper presents a systematic method using nonlinear realizations to derive superfield equations of motion for superbranes and supersymmetric Born-Infeld theories, including off-shell actions for specific supersymmetry breakings.

Contribution

It introduces a formalism for deriving superbrane equations and constructing off-shell actions for supersymmetry-breaking scenarios, advancing the understanding of super Born-Infeld theories.

Findings

Derived superfield equations for superbranes using nonlinear realizations.

Constructed off-shell superfield action for N=2, d=4 Dirac-Born-Infeld theory.

Demonstrated the approach with instructive examples.

Abstract

We describe, on a few instructive examples, a systematic way of deducing the superfield equations of motion of superbranes in the approach of partial breaking of global supersymmetry (PBGS) from the nonlinear-realizations formalism. For D-branes these equations simultaneously represent the appropriate supersymmetric Born-Infeld theories. We also discuss how to construct an off-shell superfield action for the $N=2, d=4$ Dirac-Born-Infeld theory corresponding to the partial supersymmetry breaking $N=4 \to N=2$ in $d=4$.