Contractions of AdS brane algebra and superGalileon Lagrangians

Abstract

We examine AdS Galileon Lagrangians using the method of non-linear realization. By contractions 1) flat curvature limit and 2) non-relativistic brane algebra limit and 3) (1)+(2) limits we obtain DBI, Newton-Hoock and Galilean Galileons respectively. We make clear how these Lagrangians appear as invariant 4-forms and/or pseudo-invariant Wess-Zumino terms using Maurer-Cartan equations on the coset $G/SO(3,1)$. We show the equations of motion are written in terms of the MC forms only and explain why the inverse Higgs condition is obtained as the equation of motion for all cases. The supersymmetric extension is also examined using SU(2,2|1)/(SO(3,1)x U(1)) supercoset and five WZ forms are constructed. They are reduced to the corresponding five Galileon WZ forms in the bosonic limit and are candidates of for supersymmetric Galileon.

20pages, no figure, addition of comments in v2

References in corpus (8)

• DBI and the Galileon reunited
• Symmetries for Galileons and DBI scalars on curved space
• Galileons as Wess-Zumino Terms
• Newton-Hooke Algebras, Non-relativistic Branes and Generalized pp-wave Metrics
• The construction of brane and superbrane actions using non-linear realisations
• DBI Galileon inflation in background SUGRA
• Supersymmetric Cubic Galileons Have Ghosts
• Diffeomorphism, kappa transformations and the theory of non-linear realisations

Cited by in corpus (5)

• Inequivalence of Coset Constructions for Spacetime Symmetries
• Fermionic Shift Symmetries in (Anti) de Sitter Space
• Internal Supersymmetry and Small-field Goldstini
• Higher-derivative superparticle in AdS${}_3$ space
• From $\mathcal{N}=4$ Galilean superparticle to three-dimensional non-relativistic $\mathcal{N}=4$ superfields