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Notes on super Killing tensors

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Abstract

The notion of a Killing tensor is generalised to a superspace setting. Conserved quantities associated with these are defined for superparticles and Poisson brackets are used to define a supersymmetric version of the even Schouten-Nijenhuis bracket. Superconformal Killing tensors in flat superspaces are studied for spacetime dimensions 3,4,5,6 and 10. These tensors are also presented in analytic superspaces and super-twistor spaces for 3,4 and 6 dimensions. Algebraic structures associated with superconformal Killing tensors are also briefly discussed.

Keywords

Extended Supersymmetry Superspaces Higher Spin Symmetry 
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© The Author(s) 2016

Authors and Affiliations

  1. 1.Department of MathematicsKing’s College LondonLondonU.K.
  2. 2.Department of Physics and Astronomy, Theoretical PhysicsUppsala UniversityUppsalaSweden
  3. 3.Theoretical Physics, Imperial College LondonLondonU.K.

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