Universal BPS structure of stationary supergravity solutions

Understand

We study asymptotically flat stationary solutions of four-dimensional supergravity theories via the associated G/H* pseudo-Riemannian non-linear sigma models in three spatial dimensions.

• The Noether charge C associated to G is shown to satisfy a characteristic equation that determines it as a function of the four-dimensional conserved charges.
• The matrix C is nilpotent for non-rotating extremal solutions.
• The nilpotency degree of C is directly related to the BPS degree of the corresponding solution when they are BPS.