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.
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Howe, P., Lindström, U. Notes on super Killing tensors. J. High Energ. Phys. 2016, 78 (2016). https://doi.org/10.1007/JHEP03(2016)078
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DOI: https://doi.org/10.1007/JHEP03(2016)078