On extended symmetries for the Galileon

Johannes Noller, Vishagan Sivanesan, Mikael von Strauss

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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.
Original languageEnglish
Article number064009
Pages (from-to)1-5
Number of pages5
JournalPhysical Review D
Issue number6
Early online date9 Sept 2015
Publication statusPublished - 15 Sept 2015


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