Abstract
We first make a Killing spinor analysis for a general three-dimensional off-shell supergravity and find conditions for a bosonic background to preserve at least one real supercharge. We then consider a particular model, namely topologically massive supergravity and impose its field equations. By making a suitable ansatz on metric functions we find a large class of solutions that include spacelike, timelike and null warped AdS3 among others. Isometric quotients of spacelike and timelike squashed AdS3 solutions yield extremal black holes without closed causal curves.
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