On extended symmetries for the Galileon

Johannes Noller , Vishagan Sivanesan (1) , Mikael von Strauss (1)

1 IAP - Institut d'Astrophysique de Paris

We investigate a large class of infinitesimal, but fully nonlinear in the field, transformations of the Galileon and search for extended symmetries. The transformations involve powers of the coordinates x and the field π up to any finite order N . Up to quadratic order the structure of these symmetry transformations is the unique generalization of both the infinitesimal version of the standard Galileon shift symmetry as well as a recently discovered infinitesimal extension of this symmetry. The only higher-order extensions of this symmetry we recover are ("Galileon dual" versions of) symmetries of the standard kinetic term.

Mots clés: 04.50.Kd; 11.10.Kk; 04.20.Fy; Modified theories of gravity; Field theories in dimensions other than four; Canonical formalism Lagrangians and variational principles; High Energy Physics - Theory; Astrophysics - Cosmology and Nongalactic Astrophysics; General Relativity and Quantum Cosmology

Domaines: Planète et Univers [physics]

Johannes Noller, Vishagan Sivanesan, Mikael von Strauss. On extended symmetries for the Galileon. Physical Review D, 2015, 92, ⟨10.1103/PhysRevD.92.064009⟩. ⟨insu-03644729⟩