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On extended symmetries for the Galileon

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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Submitted on : Thursday, April 28, 2022 - 3:03:10 PM
Last modification on : Thursday, April 28, 2022 - 3:04:05 PM

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PhysRevD.92.064009.pdf
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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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