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For extended $\mathcal{N}\leq 8$ supersymmetry we classify all possible gaugegroups for a scalar multiplet allowed by the algebras of global and localsupersymmetry in three dimensions. A detailed discussion of supersymmetryenhancement is included. For the corresponding topologically massive gravitywith negative cosmological constant the mass of the graviton is determinedalgebraically as a function of $\mathcal{N}$ and the possible gauge couplings.

Complete superspace classification of three-dimensional Chern-Simons-matter theories coupled to supergravity