The construction of brane and superbrane actions using non-linear realisations

TL;DR

This paper develops new actions for various p-branes and superbranes in different space-times using non-linear realisation, avoiding constraints and superfields, and reveals a dynamical Goldstone boson linked to Lorentz symmetry breaking.

Contribution

It introduces a novel method to construct brane actions via non-linear realisation without constraints or superfields, with a dynamical Goldstone boson for Lorentz breaking.

Findings

Derived new brane and superbrane actions in diverse space-times.

Goldstone boson becomes dynamical and algebraically related to other fields.

Method simplifies the construction of brane actions without additional constraints.

Abstract

We derive new actions for the bosonic p-brane, super p-brane and the p-brane moving in AdS(dS) space-times using the theory of non-linear realisation without requiring the adoption of any constraints or using superfields. The Goldstone boson associated with the breaking of Lorentz transformations becomes a dynamical field whose equation of motion relates it algebraically to the remaining Goldstone fields.