N=6 conformal supergravity in three dimensions is studied in an off-shell component field formulation. We obtain local symmetry transformation laws and a Lagrangian of the conformal supergravity multiplet. We then couple it to the ABJM theory and obtain local transformation laws and a Lagrangian of the coupled theory.
@article{arxiv.1308.3960,
title = {N=6 conformal supergravity in three dimensions},
author = {M. Nishimura and Y. Tanii},
journal= {arXiv preprint arXiv:1308.3960},
year = {2015}
}