Classifying Galileon $p$-form theories

@article{Deffayet2017ClassifyingG,
  title={Classifying Galileon \$p\$-form theories},
  author={Cedric Deffayet and Sebastian Garcia-Saenz and Shinji Mukohyama and Vishagan Sivanesan},
  journal={Physical Review D},
  year={2017},
  volume={96},
  pages={045014}
}
We provide a complete classification of all abelian gauge invariant $p$-form theories with equations of motion depending only on the second derivative of the field---the $p$-form analogues of the Galileon scalar field theory. We construct explicitly the nontrivial actions that exist for spacetime dimension $D\leq11$, but our methods are general enough and can be extended to arbitrary $D$. We uncover in particular a new $4$-form Galileon cubic theory in $D\geq8$ dimensions. As a by-product we… 

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