Notes on super Killing tensors

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Title: Notes on super Killing tensors
Author(s): Howe, PS
Lindström, U
Item Type: Journal Article
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.
Publication Date: 14-Mar-2016
Date of Acceptance: 1-Mar-2016
Publisher: Springer Verlag
Journal / Book Title: Journal of High Energy Physics
Volume: 2016
Issue: 3
Copyright Statement: © The Author(s) 2016. This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0) (, which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.
Keywords: 01 Mathematical Sciences
02 Physical Sciences
Publication Status: Published
Appears in Collections:Physics
Theoretical Physics
Faculty of Natural Sciences

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