Superworldvolume dynamics of superbranes from nonlinear realizations

TL;DR

This paper derives superbrane worldvolume equations of motion using nonlinear realizations of supersymmetry, simplifying calculations and providing a new polynomial form for Born-Infeld equations.

Contribution

It introduces a method to derive superbrane equations from nonlinear realizations, avoiding automorphism group considerations, and presents a new cubic polynomial representation of Born-Infeld equations.

Findings

Derived supermembrane and D-brane equations of motion from PBGS.

Simplified computations by neglecting automorphism groups.

Presented a new cubic polynomial form of Born-Infeld equations.

Abstract

Based on the concept of the partial breaking of global supersymmetry (PBGS), we derive the worldvolume superfield equations of motion for $N=1, D=4$ supermembrane, as well as for the space-time filling D2- and D3-branes, from nonlinear realizations of the corresponding supersymmetries. We argue that it is of no need to take care of the relevant automorphism groups when being interested in the dynamical equations. This essentially facilitates computations. As a by-product, we obtain a new polynomial representation for the $d=3,4$ Born-Infeld equations, with merely a cubic nonlinearity.