Killing spinors and related symmetries in six dimensions

  title={Killing spinors and related symmetries in six dimensions},
  author={Carlos Batista},
  journal={Physical Review D},
  • C. Batista
  • Published 17 December 2015
  • Physics
  • Physical Review D
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 into 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… 

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