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.
Supersymmetry of the three-dimensional Einstein-Hilbert gravity in the Landau gauge
GUADAGNINI, ENORE;
1990-01-01
Abstract
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.File in questo prodotto:
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