Superbranes and Super Born-Infeld Theories as Nonlinear Realizations

TL;DR

This paper discusses the approach to superbranes and super Born-Infeld theories through partial spontaneous breaking of supersymmetry, providing new derivations and proofs for these systems' actions and equations of motion.

Contribution

It introduces a universal procedure for deriving off-shell Goldstone superfield actions and proves the equivalence of equations of motion for supermembranes within this framework.

Findings

Proved equivalence of equations of motion for supermembranes.

Derived new off-shell Goldstone superfield actions.

Presented a universal derivation method inspired by linear and nonlinear realizations.

Abstract

We outline, on a few instructive examples, the characteristic features of the approach to superbranes and super Born-Infeld theories based on the concept of partial spontaneous breaking of global supersymmetry (PBGS). The examples include the N=1, D=4 supermembrane and the ``space-filling'' D2- and D3-branes. Besides giving a short account of the available results for these systems, we present some new developments. For the supermembrane we prove the equivalence of the equation of motion following from the off-shell Goldstone superfield action and the one derived directly from the nonlinear realizations formalism. We give a new derivation of the off-shell Goldstone superfield actions for the considered systems, using a universal procedure inspired by the relationship between linear and nonlinear realizations of PBGS.