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Journal Articles Physical Review D Year : 2015

On extended symmetries for the Galileon

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Abstract

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.
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insu-03644729 , version 1 (28-04-2022)

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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⟩
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