Particle dynamics near extreme Kerr throat and supersymmetry

TL;DR

This paper constructs an N=2 supersymmetric extension for a particle near an extreme Kerr black hole horizon, revealing hidden supersymmetric structures despite the classical solution's non-supersymmetric nature.

Contribution

It introduces a novel N=2 supersymmetric model for particle dynamics in the extreme Kerr throat, linking isometry groups to supersymmetry in a new way.

Findings

Bosonic charges correspond to Killing vectors.

Supersymmetry charges' geometric interpretation is unresolved.

The isometry group matches the bosonic subgroup of N=2 superconformal group.

Abstract

The extreme Kerr throat solution is believed to be non-supersymmetric. However, its isometry group SO(2,1) x U(1) matches precisely the bosonic subgroup of N=2 superconformal group in one dimension. In this paper we construct N=2 supersymmetric extension of a massive particle moving near the horizon of the extreme Kerr black hole. Bosonic conserved charges are related to Killing vectors in a conventional way. Geometric interpretation of supersymmetry charges remains a challenge.