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

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.

Latex2.09, 13 pages

References in corpus (4)

• Homogeneous fluxes, branes and a maximally supersymmetric solution of M-theory
• Debye Potentials for Maxwell and Dirac Fields from a Generalisation of the Killing-Yano Equation
• Killing spinors are Killing vector fields in Riemannian Supergeometry
• The twistor equation in Lorentzian spin geometry

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• Dynamical Contents of Unconventional Supersymmetry
• Superconformal quantum field theory in curved spacetime
• Conformal symmetry superalgebras
• Holonomy groups and special geometric structures of pseudo-Kählerian manifolds of index 2
• Rigid supersymmetry, conformal coupling and twistor spinors
• Self-consistency of Conformally Coupled ABJM Theory at the Quantum Level
• Equivariant and supersymmetric localization in QFT
• Submaximal conformal symmetry superalgebras for Lorentzian manifolds of low dimension