N=6 conformal supergravity in three dimensions
M. Nishimura, Y. Tanii

TL;DR
This paper develops an off-shell component field formulation of N=6 conformal supergravity in three dimensions, deriving its symmetry laws and Lagrangian, and couples it to the ABJM theory to analyze the combined system.
Contribution
It provides the first off-shell formulation of N=6 conformal supergravity in three dimensions and couples it to ABJM theory, deriving explicit transformation laws and Lagrangians.
Findings
Derived local symmetry transformation laws for N=6 conformal supergravity.
Constructed the Lagrangian for the supergravity multiplet.
Coupled the supergravity to ABJM theory and obtained the combined Lagrangian.
Abstract
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.
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