Supersymmetry of topological Kerr-Newmann-Taub-NUT-aDS spacetimes

TL;DR

This paper explores the supersymmetry properties of extended topological Kerr-Newman-AdS spacetimes with NUT charge, revealing a duality in their charge configurations and classifying their supersymmetry preservation.

Contribution

It generalizes known solutions by including NUT charge and analyzes their supersymmetry, uncovering a duality symmetry in the context of gauged N=2, d=4 supergravity.

Findings

Solutions preserve at most 1/4 supersymmetry

A duality rotates electric/magnetic and mass/NUT charges

All solutions can be derived as limits of Plebanski-Demianski

Abstract

We extend the topological Kerr-Newman-aDS solutions by including NUT charge and find generalizations of the Robinson-Bertotti solution to the negative cosmological constant case with different topologies. We show how all these solutions can be obtained as limits of the general Plebanski-Demianski solution. We study the supersymmetry properties of all these solutions in the context of gauged N=2,d=4 supergravity. Generically they preserve at most 1/4 of the total supersymmetry. In the Plebanski-Demianski case, although gauged N=2,d=4 supergravity does not have electric-magnetic duality, we find that the family of supersymmetric solutions still enjoys a sort of electric-magnetic duality in which electric and magnetic charges and mass and Taub-NUT charge are rotated simultaneously.