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, 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 N = 6 conformal supergravity. The complete component action is also worked out. © 2014 The Author(s).