2017/04/30 by Cédric Deffayet, Sebastian Garcia-Saenz, Sebastián García-Sáenz +2
Mathematics · Physics and Astronomy · #Abelian group #Algebra over a field #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Dimension (graph theory) #Field (mathematics) #Gauge theory #Geometry #Mathematical physics #Mathematics #Physics #Pulsars and Gravitational Waves Research #Pure mathematics #Quartic function #Scalar (mathematics) #Scalar field #Theoretical physics #gr-qc #hep-th
paper · pdf · doi:10.1103/physrevd.96.045014
published as Phys. Rev. D 96, 045014 (2017) · 17 pages; v2: references added
openalex created_date 2017/04/28 · openalex publication_date 2017/08/24 · arxiv created 2017/09/05 · arxiv updated 2017/09/06 · openalex updated_date 2026/08/05
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\ensuremath≤11, 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\ensuremath≥8 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.