Arbitrary p-form Galileons

Understand

We show that scalar, 0-form, Galileon actions --models whose field equations contain only second derivatives-- can be generalized to arbitrary even p-forms.

• More generally, they need not even depend on a single form, but may involve mixed p combinations, including equal p multiplets, where odd p-fields are also permitted: We construct, for given dimension D, general actions depending on scalars, vectors and higher p-form field strengths, whose field equations are of exactly second derivative order.
• We also discuss and illustrate their curved-space generalizations, especially the delicate non-minimal couplings required to maintain this order.
• Concrete examples of pure and mixed actions, field equations and their curved space extensions are presented.