Arbitrary p-form Galileons

Details Arbitrary p-form Galileons Arbitrary p-form Galileons

2010-07-29

arxiv.org/abs/1007.5278v2

Phys. Rev. D 82, 061501(R) (2010)

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

8 pages, no figure, RevTeX4 format, v2: minor editorial changes reflecting the published version in PRD Rapid Communications

Scientific paper

10.1103/PhysRevD.82.061501

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.

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