Diffeomorphism, kappa transformations and the theory of non-linear realisations

TL;DR

This paper demonstrates how non-linear realisations can incorporate world line diffeomorphisms and kappa transformations for particles and branes, unifying symmetry treatments in a geometric framework.

Contribution

It introduces a method to naturally include diffeomorphisms and kappa transformations within the non-linear realisation approach for particles and p-branes.

Findings

Unified treatment of symmetries for particles and branes.

Extension of non-linear realisations to include Lorentz transformations for p-branes.

Applicable to superparticles and super p-branes.

Abstract

We will show how the theory of non-linear realisations can be used to naturally incorporate world line diffeomorphisms and kappa transformations for the point particle and superpoint particle respectively. Similar results also hold for a general p-brane and super p-brane, however, we must in these cases include an additional Lorentz transformation.