We consider 2+1 dimensional off-shell N = 1 pure supergravity that is constructed from graviton, gravitino and auxiliary field. We show that the R2 supersymmetric invariant and Rμν2 supersymmetric invariant are expressed as local supersymmetric exact terms up to mass terms for gravitino. In both cases, the mass parameter is proportional to the off-shell supersymmetric cosmological constant.
@article{arxiv.1603.03782,
title = {Comments on SUSY Exact Action in 3D Supergravity},
author = {Norihiro Iizuka and Akinori Tanaka},
journal= {arXiv preprint arXiv:1603.03782},
year = {2016}
}