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arXiv · 1506.03446

On extended symmetries for the Galileon

Johannes Noller·Vishagan Sivanesan·Mikael von Strauss
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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 $\pi$ up to any finite order $N$. Up to quadratic order the structure of these symmetry transformations is the unique generalisation 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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BibTeXRIS

Johannes Noller, Vishagan Sivanesan, Mikael von Strauss. 2015-06-10. On extended symmetries for the Galileon. https://doi.org/10.1103/physrevd.92.064009

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