Supersymmetric Killing Structures

  title={Supersymmetric Killing Structures},
  author={Frank Klinker},
  journal={Communications in Mathematical Physics},
  • F. Klinker
  • Published 4 February 2005
  • Mathematics
  • Communications in Mathematical Physics
In this text we combine the notions of supergeometry and supersymmetry. We construct a special class of supermanifolds whose reduced manifolds are (pseudo-) Riemannian manifolds. These supermanifolds allow us to treat vector fields on the one hand and spinor fields on the other hand as equivalent geometric objects. This is the starting point of our definition of supersymmetric Killing structures. The latter combines subspaces of vector fields and spinor fields, provided they fulfill certain… 
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