Spinning Particle as a Non-trivial Rotating Super Black Hole with Broken N=2 Supersymmetry

Abstract

Non-trivial supergeneralization of the Kerr-Newman solution is considered as representing a combined model of the Kerr-Newman spinning particle and superparticle. We show that the old problem of obtaining non-trivial super black hole solutions can be resolved in supergravity broken by Goldstone fermion. Non-linear realization of broken N=2 supersymmetry specific for the Kerr geometry is considered and some examples of the super-Kerr geometries generated by Goldstone fermion are analyzed. The resulting geometries acquire torsion, Rarita-Schwinger field and extra wave contributions to metric and electromagnetic field caused by Grassmann variables. One family of the self-consistent super-Kerr-Newman solutions to broken N=2 supergravity is selected, and peculiarities of these solutions are discussed. In particular, the appearance of extra `axial' singular line and traveling waves concentrated near `axial' and ring-like singularities.