Conformal Killing spinors and special geometric structures in Lorentzian geometry - a survey

2002/02/01 by Helga Baum, Baum, Helga · 4 citations
Mathematics · Physics and Astronomy · #53A50 #53C25 #53C50 #53C80 #Black Holes and Theoretical Physics #Differential Geometry (math.DG) #FOS: Mathematics #FOS: Physical sciences #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #High Energy Physics - Theory (hep-th) #hep-th #math.DG #msc:53A50 #msc:53C25 #msc:53C50 #msc:53C80

paper · pdf · doi:10.48550/arxiv.math/0202008

Latex2.09, 13 pages

arxiv created 2002/02/01 · openalex publication_date 2002/02/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This paper is a survey on special geometric structures that admit conformal Killing spinors based on lectures, given at the ``Workshop on Special Geometric Structures in String Theory'', Bonn, September 2001 and at ESI, Wien, November 2001. We discuss the case of Lorentzian signature and explain which geometries occur up to dimension 6.

Citations

• The twistor equation in Lorentzian spin geometry

Cited by

• Equivariant and supersymmetric localization in QFT
• Submaximal conformal symmetry superalgebras for Lorentzian manifolds of\n low dimension
• Rigid supersymmetry, conformal coupling and twistor spinors
• Holonomy groups and special geometric structures of pseudo-Kählerian manifolds of index 2

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