On Ghost-free Supersymmetric Galileons

TL;DR

This paper develops consistent supersymmetric theories extending Galileon symmetries within ${\ m N}=1$ superspace, achieved through decoupling limits of specialized supergravity models, thus supersymmetrizing covariant Galileons.

Contribution

It introduces the first supersymmetric extensions of covariant Galileons using linearized ${\rm N}=1$ supergravity and decoupling limits, expanding the theoretical framework of Galileon models.

Findings

Constructed supersymmetric Galileon theories invariant under generalized shift symmetries.

Connected these theories to decoupling limits of non-minimally coupled supergravities.

Provided a supersymmetric formulation in the linearized ${\rm N}=1$ supergravity setup.

Abstract

We present consistent supersymmetric theories invariant under the generalization of the Galilean shift symmetry to ${\cal{N}}=1$ superspace. These theories are constructed via the decoupling limit of certain non-minimally derivative coupled supergravities, thus they correspond to the supersymmetrization of the so-called covariant Galileon. Specifically, these theories are constructed in the linearized ${\cal{N}}=1$ new-minimal supergravity set-up where the chiral supermultiplet is minimally coupled to gravity via the standard R-current contact term, and, at the same time, non-minimally derivatively coupled to the Einstein superfield.