On the equivalence of the SO(2,1) gauged WZW form and Liouville theory
arXiv:0904.2102
Abstract
It is proved that Liouville theory and the two dimensional SO(2,1) gauged Wess-Zumino-Witten term are on-shell equivalent. This shed light on a possible higher dimensional generalization of the former theory.
Extended discussion on the invertibility of the vielbein in the Chern-Simons formulation of gravity