Arbitrary p-form Galileons

By Cedric Deffayet, S. Deser, G. Esposito-Farèse. 2010

204 citations recorded by the source corpus.

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.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/259ba37943e5618efdcef931b27cf548320701bf

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Citations in the corpus

Beyond the Cosmological Standard Model (2014, unknown): “Galileons have been generalized in various directions: they have been embedded in supersymmetry and supergravity [562–565], extended to p-forms [566], extended to multi-galileons [567–572] and coupled consistently to gauge fields [573, 574].”
Theoretical Aspects of Massive Gravity (2011, background): “They have been generalized in many directions [151, 152, 153, 154, 155, 156, 157], and are the subject of much recent activity (see for instance the > 100 papers citing [136]).”
Imperfect Dark Energy from Kinetic Gravity Braiding (2010, background): “Also, recently, such models have been extended to vectors and p-forms [19].”
Generalized Proca action for an Abelian vector field (2015, methodology): “[11].”
Generalized Galileons: instabilities of bouncing and Genesis cosmologies and modified Genesis (2016, background): “Candidates for the latter are generalized Galileons [2–9], scalar fields whose Lagrangians involve second derivatives, and whose field equations are nevertheless second order (for a review see, e.”
Modified Gravity and Cosmology (2011, background): “Multi-galileons The extension of the galileon scenario to include multiple scalar fields [1017, 1018, 1019, 396] and even arbitrary p-forms [397] has recently been developed (see [481, 480] for earlier work).”
Cosmology in generalized Proca theories (2016, methodology): “A natural follow-up was to apply the same construction of Galileon-like interactions to arbitrary p-forms [64].”
Symmetries for Galileons and DBI scalars on curved space (2011, methodology): “The Galileons have been covariantized [15– 17], extended to p-forms [18], and supersymmetrized [19].”
Horndeski theory and beyond: a review (2019, background): “The Galileon is generalized to mixed combinations of p-form fields in [54], a special case of which is the bi- and multi- Galileon theory [55, 56].”