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arXiv · 1511.04575

Notes on Super Killing Tensors

P. S. Howe·U. Lindström
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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 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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P. S. Howe, U. Lindström. 2016-03-04. Notes on Super Killing Tensors. https://doi.org/10.1007/jhep03(2016)078

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