Rotating Black Hole, Twistor-String and Spinning Particle

TL;DR

This paper explores the complex twistor-string structure within Kerr geometry, revealing a real stringy structure with a twistorial origin, and discusses its supersymmetry breaking and target space implications.

Contribution

It introduces a novel complex twistor-string model based on Kerr geometry, linking real and complex structures, and analyzes supersymmetry breaking and target space geometry.

Findings

Identification of a complex twistor-string built from N=2 chiral string.

Partial breaking of N=2 supersymmetry upon embedding into Minkowski space.

Target space related to Witten's diagonal of CP^3×CP^{*3}.

Abstract

We discuss basic features of the model of spinning particle based on the Kerr solution. It contains a very nontrivial {\it real} stringy structure consisting of the Kerr circular string and an axial stringy system. We consider also the complex and twistorial structures of the Kerr geometry and show that there is a {\it complex} twistor-string built of the complex N=2 chiral string with a twistorial $(x,\theta)$ structure. By imbedding into the real Minkowski $\bf M^4$, the N=2 supersymmetry is partially broken and string acquires the open ends. Orientifolding this string, we identify the chiral and antichiral structures. Target space of this string is equivalent to the Witten's `diagonal' of the $\bf CP^3\times CP^{*3}.$