Tensor Galileons and gravity

Athanasios Chatzistavrakidis*, Fech Scen Khoo, Diederik Roest, Peter Schupp

*Corresponding author for this work

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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. The simplest case corresponds to linearised gravity with Lovelock invariants, relating the Galileon symmetry to diffeomorphisms. Finally, we examine the coupling of a mixed-symmetry tensor to gravity, and demonstrate in an explicit example that the inclusion of appropriate (otmterterms retains second order field equations.

Original languageEnglish
Article number070
Number of pages26
JournalJournal of High Energy Physics
Issue number3
Publication statusPublished - 13-Mar-2017


  • Classical Theories of Gravity
  • Gauge Symmetry
  • Global Symmetries
  • Field Theories in Higher Dimensions

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