2014

Generalized Galileon Duality

de Rham, Claudia, Keltner, Luke, Tolley, Andrew J.

Understand

We generalize the Galileon duality to any single scalar field Lagrangian coupled locally to any matter field.

  • Under the duality, a generalized Galileon maps into another generalized Galileon via a one parameter group of transformations, with only a simple modification of the Lagrangian functions.
  • We find a special class of generalized Galileons for which the duality is a symmetry of the action.
  • We further extend the duality to the case of vector fields and give the dual formulations of the Maxwell and Proca theories.

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