N=2 supersymmetric particle near extreme Kerr throat

TL;DR

This paper develops a new N=2 supersymmetric model for a massive particle near an extreme Kerr black hole horizon, emphasizing geometric clarity and proper fermionic variables.

Contribution

It introduces a novel N=2 supersymmetric extension with geometrically meaningful variables for particles near extreme Kerr horizons.

Findings

Constructed a consistent N=2 supersymmetric model

Ensured proper fermionic variable count

Provided geometric interpretation of variables

Abstract

We construct a new N=2 supersymmetric extension of a massive particle moving near the horizon of the extreme Kerr black hole. Our supercharges and Hamiltonian contain the proper number of fermions (two for each bosonic variables). The key ingredient of our construction is a proper choice of the bosonic variables which all have a clear geometric meaning.