to the BMS group, and in [@Ciambelli:2018xat; @Ciambelli:2018wre; @Ciambelli:2018ojf; @Campoleoni:2018ltl] the authors shewed how Carrollian structures and geometry emerge in the framework of flat holography and fluid/gravity correspondence.

Motivated by all these interesting applications of Carroll symmetries and by the fact that a study of their supersymmetric extensions in the context of supergravity models is still lacking, in this work we present for the first time the construction of the three-dimensional CS supergravity theory invariant under the $\mathcal{N}=1$ AdS Carroll superalgebra (in $D=3$, where here and in the sequel with $D=3$ we mean $2+1$ dimensions) introduced in [@Bergshoeff:2015wma] (which was obtained in [@Bergshoeff:2015wma] as a contraction of the $\mathcal{N}=1$ AdS superalgebra) by applying the method of [@Concha:2016zdb]. Our result was also an open problem suggested in Ref. [@Bergshoeff:2015wma] and it represents the $\mathcal{N}=1$ supersymmetric extension of the AdS Carroll CS gravity action of [@Matulich:2019cdo].

Specifically, in [@Concha:2016zdb] the authors presented a generalization of the standard Inönü-Wigner contraction [@IW; @WW] by rescaling not only the generators of a Lie (super)algebra but also the arbitrary constants appearing in the components of the invariant tensor of the same Lie (super)algebra, the latter being the key ingredient for working out a CS action, invariant 