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Conformal couplings of Galileons to other degrees of freedom

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Abstract

We discuss a formulation of Galileon actions in terms of matrix determinants in four dimensions. This approach allows one to straightforwardly determine derivative couplings between Galileons and scalar or vector degrees of freedom that lead to equations of motion with at most two space-time derivatives. We use this method to easily build generalizations of Galileon set-ups preserving conformal symmetry, finding explicit examples of couplings between Galileons and additional degrees of freedom that preserve the Galileon conformal invariance. We discuss various physical applications of our method and of our results.

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Authors and Affiliations

  1. Institute of Cosmology & Gravitation, University of Portsmouth, Dennis Sciama Building, Portsmouth, PO1 3FX, U.K

    Gianmassimo Tasinato

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  1. Gianmassimo Tasinato
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Correspondence to Gianmassimo Tasinato.

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ArXiv ePrint: 1310.0034

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Tasinato, G. Conformal couplings of Galileons to other degrees of freedom. J. High Energ. Phys. 2013, 196 (2013). https://doi.org/10.1007/JHEP11(2013)196

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  • DOI: https://doi.org/10.1007/JHEP11(2013)196

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