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Geometry of Multi-Flavor Galileon-Like Theories
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We use Lie-algebraic arguments to classify Lorentz-invariant theories of massless interacting scalars that feature coordinate-dependent redundant symmetries of the Galileon type. We show that such theories are determined, up to a set of low-energy effective couplings, by specifying an affine representation of the Lie algebra of physical, non-redundant internal symmetries and an invariant metric on its target space. This creates an infinite catalog of theories relevant for both cosmology and high-energy physics thanks to their special properties such as enhanced scaling of scattering amplitudes in the soft limit.
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Multi-Galileons in Curved Space
A probe-brane construction yields multi-galileon theories on de Sitter space whose so(N)-breaking vacuum has Goldstone modes with vanishing kinetic terms, giving two dS vacua with different propagating degrees of freedom.
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