On the supersymmetrization of Galileon theories in four dimensions

• Main Authors: Henriette Elvang, Marios Hadjiantonis, Callum R.T. Jones, Shruti Paranjape
• Format: Article
• Language: English
• Published: Elsevier 2018-06-01
• Series: Physics Letters B
• Online Access: http://www.sciencedirect.com/science/article/pii/S0370269318303162

We use on-shell amplitude techniques to study the possible N=1 supersymmetrizations of Galileon theories in 3+1 dimensions, both in the limit of decoupling from DBI and without. Our results are that (1) the quartic Galileon has a supersymmetrization compatible with Galileon shift symmetry (ϕ→ϕ+c+bμxμ) for the scalar sector and a constant shift symmetry (ψ→ψ+ξ) for the fermion sector, and it is unique at least at 6th order in fields, but possibly not beyond; (2) the enhanced “special Galileon” symmetry is incompatible with supersymmetry; (3) there exists a quintic Galileon with a complex scalar preserving Galileon shift symmetry; (4) one cannot supersymmetrize the cubic and quintic Galileon while preserving the Galileon shift symmetry for the complex scalar; and (5) for the quartic and quintic Galileon, we present evidence for a supersymmetrization in which the real Galileon scalar is partnered with an R-axion to form a complex scalar which only has an ordinary shift symmetry. Keywords: On-shell amplitudes, Galileons, Supersymmetry