N=6 superconformal gravity in three dimensions from superspace

Abstract

A unique feature of N=6 conformal supergravity in three dimensions is that the super Cotton tensor WIJKL can equivalently be viewed, via the Hodge duality, as the field strength of an Abelian vector multiplet, WIJ. 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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