The decoupling limit of Multi-Gravity: Multi-Galileons, Dualities and More

Abstract

In this paper we investigate the decoupling limit of a particular class of multi-gravity theories, i.e. of theories of interacting spin-2 fields. We explicitly compute the interactions of helicity-0 modes in this limit, showing that they take on the form of multi-Galileons and dual forms. In the process we extend the recently discovered Galileon dualities, deriving a set of new multi-Galileon dualities. These are also intrinsically connected to healthy, but higher-derivative, multi-scalar field theories akin to `beyond Horndeski' models.

41 pages, 2 figures

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Cited by in corpus (18)

• Recent developments in bimetric theory
• Vielbein to the Rescue?
• Positivity Constraints on Interacting Spin-2 Fields
• Dark matter scenarios with multiple spin-2 fields
• New massive bigravity cosmologies with double matter coupling
• A geometrical approach to degenerate scalar-tensor theories
• Cutoff for Extensions of Massive Gravity and Bi-Gravity
• Quantum corrections to the generalized Proca theory via a matter field
• Generalised matter couplings in massive bigravity
• Quantum Corrections to Generic Branes: DBI, NLSM, and More
• Pseudo-Linear Spin-2 Interactions
• Structures in multiple spin-2 interactions
• EFT of Interacting Spin-2 Fields
• Post-Newtonian parameter $\gamma$ and the deflection of light in ghost-free massive bimetric gravity
• Scattering Amplitudes and Soft Theorems in Multi-Flavor Galileon Theories
• Strong-coupling scales and the graph structure of multi-gravity theories
• On extended symmetries for the Galileon
• On scale-free extensions of massive (bi-)gravity