Killing Spinors and Related Symmetries in Six Dimensions
arXiv:1512.05750 · doi:10.1103/PhysRevD.93.065002
Abstract
Benefiting from the index spinorial formalism, the Killing spinor equation is integrated in six-dimensional spacetimes. The integrability conditions for the existence of a Killing spinor are worked out and the Killing spinors are classified in two algebraic types, in the first type the scalar curvature of the spacetime must be negative, while in the second type the spacetime must be an Einstein manifold. In addition, the equations that define Killing-Yano (KY) and closed conformal Killing-Yano (CCKY) tensors are expressed in the index notation and, as consequence, all non-vanishing KY and CCKY tensors that can be generated from a Killing spinor are made explicit.
33 pages
References in corpus (13)
- Complete Integrability of Geodesic Motion in General Kerr-NUT-AdS Spacetimes
- SUSY models under siege: LHC constraints and electroweak fine-tuning
- Classification of the Weyl Tensor in Higher Dimensions and Applications
- Higher-Dimensional Black Holes: Hidden Symmetries and Separation of Variables
- Algebraic classification of higher dimensional spacetimes based on null alignment
- Separability of Dirac equation in higher dimensional Kerr-NUT-de Sitter spacetime
- Uncovering Natural Supersymmetry via the interplay between the LHC and Direct Dark Matter Detection
- Killing(-Yano) Tensors in String Theory
- Geometry of four-dimensional Killing spinors
- Complementarity of Dark Matter Searches at Resonance
- Geometry of Killing spinors in neutral signature
- Conformal Killing forms on Riemannian manifolds
- Conformally Invariant Spinorial Equations in Six Dimensions