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We consider the maximal $\cal{N}-$extended supergravity theory in 3dimensions with fermionic generators transforming under real but nonnecessarily irreducible representations of the internal algebra. We obtain thesymmetry algebra at null infinity preserving boundary conditions ofasymptotically flat solutions, i.e. the maximal $\cal{N}-$extendedsuper-BMS$_3$ algebra, which possesses non-linear correction in theanti-commutators of supercharges. We present the supersymmetric energy boundand derive the explicit form of the asymptotic Killing spinors. We also findthe most generic circular symmetric ground state of the theory, whichcorresponds to a non-supersymmetric cosmological solutions and derive theirentropy.

Maximally $\cal{N}$-extended super-BMS$_3$ algebras and Generalized 3D Gravity Solutions