Abstract
A unique feature of \( \mathcal{N} \) = 6 conformal supergravity in three dimensions is that the super Cotton tensor W I J K L can equivalently be viewed, via the Hodge duality, as the field strength of an Abelian vector multiplet, W I J . Using this observation and the conformal superspace techniques developed in arXiv:1305.3132 and arXiv:1306.1205, we construct the off-shell action for \( \mathcal{N} \) = 6 conformal supergravity. The complete component action is also worked out.
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ArXiv ePrint: 1308.5552
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Kuzenko, S.M., Novak, J. & Tartaglino-Mazzucchelli, G. \( \mathcal{N} \) = 6 superconformal gravity in three dimensions from superspace. J. High Energ. Phys. 2014, 121 (2014). https://doi.org/10.1007/JHEP01(2014)121
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DOI: https://doi.org/10.1007/JHEP01(2014)121