Relating Superembeddings and Non-linear Realisations

TL;DR

This paper explores the connection between superembedding techniques and non-linear realizations of supersymmetry, clarifying their relationship for space-filling branes in specific dimensions.

Contribution

It explicitly relates superembedding constraints to non-linear SUSY realizations, enhancing understanding of their equivalence in brane dynamics.

Findings

Superembedding F-constraint corresponds to PBGS non-linear constraints.

Explicit relations established for 3 and 4-dimensional space-filling branes.

Provides a unified view of two methods for deriving D-brane actions.

Abstract

We discuss the relation between the superembedding method for deriving worldvolume actions for D-branes and the method of Partially Broken Global Supersymmetry based upon linear and non-linear realisations of SUSY. We give the explicit relation for the cases of space filling branes in 3 and 4 dimensions and show that the standard F-constraint of the superembedding method is the source of the required covariant non-linear constraints for the PBGS method.