Integrability conditions for Killing spinors

DOI10.1007/BF01223747zbMath0549.53011OpenAlexW2056200229MaRDI QIDQ800648

Peter van Nieuwenhuizen, Nicholas P. Warner

Publication date: 1984

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01223747

zbMATH Keywords

supergravityKilling spinors

Mathematics Subject Classification ID

Supersymmetric field theories in quantum mechanics (81T60) Spin and Spin({}^c) geometry (53C27) Applications of local differential geometry to the sciences (53B50)

Related Items

Twistor spinors and their zeroes, Real Killing spinors and holonomy, Euclidean supersymmetric solutions with the self-dual Weyl tensor, Supersymmetry of the \(C\)-metric and the general Plebański-Demiański solution, Duality and restoration of manifest supersymmetry, Generalized holonomy of M-theory vacua, Higher order integrability in generalized holonomy, Symmetry operators and decoupled equations for linear fields on black hole spacetimes, The Einstein-Dirac equation on Riemannian spin manifolds, Two-component spinorial formalism using quaternions for six-dimensional spacetimes, The effect of higher-order curvature terms on string quantum cosmology, Conformal Killing initial data, 7-dimensional compact Riemannian manifolds with Killing spinors, Superconformal sigma models in higher than two dimensions, Space-time of boosted \(p\)-branes, and CFT in infinite-momentum frame, Twistor spinors on Lorentzian symmetric spaces, Twistor spinors and gravitational instantons, Lorentzian twistor spinors and CR-geometry

Cites Work

• On quadratic first integrals of the geodesic equations for type [22 spacetimes]
• <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>N</mml:mi><mml:mo>=</mml:mo><mml:mn>8</mml:mn><mml:mn /></mml:math>Supergravity Breaks Down to<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>N</mml:mi><mml:mo>=</mml:mo><mml:mn>1</mml:mn><mml:mn /></mml:math>