Classifying Galileon $p$-form theories
Autor: | Deffayet, Cédric, Garcia-Saenz, Sebastian, Mukohyama, Shinji, Sivanesan, Vishagan |
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Rok vydání: | 2017 |
Předmět: | |
Zdroj: | Phys. Rev. D 96, 045014 (2017) |
Druh dokumentu: | Working Paper |
DOI: | 10.1103/PhysRevD.96.045014 |
Popis: | 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 give a simple proof of the fact that the equations of motion depend on the $p$-form gauge fields only through their field strengths, and show this explicitly for the recently discovered $3$-form Galileon quartic theory. Comment: 17 pages; v2: references added |
Databáze: | arXiv |
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