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Notes on Super Killing Tensors

Authors
  • Howe, P. S.
  • Lindström, U.
Type
Preprint
Publication Date
Mar 04, 2016
Submission Date
Nov 14, 2015
Identifiers
DOI: 10.1007/JHEP03(2016)078
Source
arXiv
License
Yellow
External links

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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