The twistor equation in Lorentzian spin geometry

Abstract

In this paper we discuss the twistor equation in Lorentzian spin geometry. In particular, we explain the local conformal structure of Lorentzian manifolds, which admit twistor spinors inducing lightlike Dirac currents. Furthermore, we derive all local geometries with singularity free twistor spinors that occur up to dimension 7.

20 pages

References in corpus (2)

• Dirac symmetry operators from conformal Killing-Yano tensors
• Solvable Pseudo-Riemannian Symmetric Spaces

Cited by in corpus (6)

• Conformal Killing spinors and special geometric structures in Lorentzian geometry - a survey
• Superconformal quantum field theory in curved spacetime
• Conformal symmetry superalgebras
• Rigid supersymmetry, conformal coupling and twistor spinors
• A Moduli Space of the Quaternionic Hopf Surface Encodes Standard Model Physics
• Submaximal conformal symmetry superalgebras for Lorentzian manifolds of low dimension