Seminarium Teorii Względności i Grawitacji

I will give a basic introduction to generalized Killing spinor equations. In supersymmetric QFTs these equations arise as necessary and sufficient conditions for preserving (rigid) supersymmetry on a manifold with fixed metric. Classifying manifolds which admit non-trivial solutions is an interesting problem, since it provides a list of space-times where supersymmetric theories can be consistently defined.