SUPERSYMMETRY OF THE 3-DIMENSIONAL EINSTEIN-HILBERT GRAVITY IN THE LANDAU GAUGE

In analogy with the Chern-Simons action in the Landau gauge, we find for the 3D Einstein-Hilbert gravity an extra symmetry whose Ward operator, together with the linearized Slavnov operator, gives rise to a N = 1 supersymmetric algebra. We discuss furthermore the inclusion in the action either of a cosmological constant or of a topological term which permits the exploitation of the tight analogy of 3D gravity with the Chern-Simons models built on complex gauge groups. © 1990.