Classifying Galileon $p$-form theories

Autor: Deffayet, Cédric, Garcia-Saenz, Sebastian, Mukohyama, Shinji, Sivanesan, Vishagan
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