Supersymmetry and Gravitational Duality

Understand

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.