2015/06/12 by Johannes Noller, Vishagan Sivanesan, Mikael von Strauss · 1 citation
Mathematics · Physics and Astronomy · #Advanced Differential Equations and Dynamical Systems #Black Holes and Theoretical Physics #Class (philosophy) #Classical mechanics #Computer science #Cosmology and Gravitation Theories #Epistemology #Extension (predicate logic) #Field (mathematics) #Generalization #Geometry #Homogeneous space #Infinitesimal #Kinetic term #Mathematical analysis #Mathematical physics #Mathematics #Nonlinear system #Order (exchange) #Philosophy #Physics #Pure mathematics #Quadratic equation #Quantum mechanics #Rotational symmetry #Symmetry (geometry) #Term (time) #Theoretical physics #astro-ph.CO #gr-qc #hep-th
paper · pdf · doi:10.1103/physrevd.92.064009
published as Phys. Rev. D 92, 064009 (2015) · Latex, 5 pages, conclusions changed
arxiv created 2015/06/12 · openalex publication_date 2015/09/09 · arxiv updated 2015/09/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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 \ensuremathπ 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.