Notes on Super Killing Tensors
High Energy Physics - Theory
2016-04-20 v3
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
Keywords
Cite
@article{arxiv.1511.04575,
title = {Notes on Super Killing Tensors},
author = {P. S. Howe and U. Lindström},
journal= {arXiv preprint arXiv:1511.04575},
year = {2016}
}
Comments
34 pages, 2 figures. Clarifying comments to make the article more accessible to mathematicians added. Some new references included