Tensor Galileons and Gravity

Understand

The particular structure of Galileon interactions allows for higher-derivative terms while retaining second order field equations for scalar fields and Abelian $p$-forms.

• In this work we introduce an index-free formulation of these interactions in terms of two sets of Grassmannian variables.
• We employ this to construct Galileon interactions for mixed-symmetry tensor fields and coupled systems thereof.
• We argue that these tensors are the natural generalization of scalars with Galileon symmetry, similar to $p$-forms and scalars with a shift-symmetry.