Abstract
We construct N=1 d=3 AdS supergravity within the group manifold approach and compare it with Achucarro-Townsend Chern-Simons formulation of the same theory. We clarify the relation between the off-shell super gauge transformations of the Chern- Simons theory and the off-shell worldvolume supersymmetry transformations of the group manifold action. We formulate the Achucarro-Townsend model in a double supersymmetric action where the Chern-Simons theory with a supergroup gauge symmetry is constructed on a supergroup manifold. This framework is useful to establish a correspondence of degrees of freedom and auxiliary fields between the two descriptions of d=3 supergravity.
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Castellani, L., Cremonini, C. & Grassi, P. Chern-Simons supergravity on supergroup manifolds. J. High Energ. Phys. 2020, 110 (2020). https://doi.org/10.1007/JHEP05(2020)110
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DOI: https://doi.org/10.1007/JHEP05(2020)110