  We study how the supersymmetry algebra copes with gravitational duality. As a
playground, we consider a charged Taub-NUT solution of D=4, N=2 supergravity.
We find explicitly its Killing spinors, and the projection they obey provides
evidence that the dual magnetic momenta necessarily have to appear in the
supersymmetry algebra. The existence of such a modification is further
supported using an approach based on the Nester form. In the process, we find
new expressions for the dual magnetic momenta, including the NUT charge. The
same expressions are then rederived using gravitational duality.
