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DOE OSTI · 21421100

Arbitrary p-form Galileons

Deffayet, C·Deser, S·Esposito-Farese, G
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Abstract

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 nonminimal 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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71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDSCOUPLINGEQUATIONSFIELD EQUATIONSMATHEMATICAL MODELSMULTIPLETSSCALARSSIMULATIONTENSORSVECTORS

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Deffayet, C, Deser, S, Esposito-Farese, G. 2010-09-15. Arbitrary p-form Galileons. https://doi.org/10.1103/physrevd.82.061501

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