N=6 superconformal gravity in three dimensions from superspace
Sergei M. Kuzenko, Joseph Novak, Gabriele Tartaglino-Mazzucchelli

TL;DR
This paper constructs the off-shell action for N=6 conformal supergravity in three dimensions using superspace techniques, revealing a duality between the super Cotton tensor and an Abelian vector multiplet.
Contribution
It introduces a novel off-shell formulation of N=6 conformal supergravity in three dimensions utilizing superspace methods and super Cotton tensor duality.
Findings
Off-shell action for N=6 conformal supergravity derived
Component action explicitly worked out
Super Cotton tensor duality with Abelian vector multiplet established
Abstract
A unique feature of N=6 conformal supergravity in three dimensions is that the super Cotton tensor W^{IJKL} can equivalently be viewed, via the Hodge duality, as the field strength of an Abelian vector multiplet, W^{IJ}. Using this observation and the conformal superspace techniques developed in arXiv:1305.3132 and arXiv:1306.1205, we construct the off-shell action for N=6 conformal supergravity. The complete component action is also worked out.
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