Rotating Black Hole, Twistor-String and Spinning Particle

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 ${\mathbf{M}}^4$, 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 $\mathbf{C}{\mathbf{P}}^3\times \mathbf{C}{\mathbf{P}}^{\ast 3}.$

19 p. 4 figures, extended version of hep-th/0412065, based on the talk given at the Conference `Symmetries and Spin'(SPIN-Praha-2004) July 2004

References in corpus (2)

• Twistorial Analyticity and Three Stringy Systems of the Kerr Spinning Particle
• Supertwistors and Cubic String Field Theory for Open N=2 Strings

Cited by in corpus (4)

• The Dirac -- Kerr-Newman electron
• The Topological B-model on a Mini-Supertwistor Space and Supersymmetric Bogomolny Monopole Equations
• The influence of the Lande $g$-factor in the classical general relativistic description of atomic and subatomic systems
• Complex Kerr Geometry, Twistors and the Dirac Electron