# 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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