Super-Laplacians and their symmetries
High Energy Physics - Theory
2017-08-23 v2
Abstract
A super-Laplacian is a set of differential operators in superspace whose highest-dimensional component is given by the spacetime Laplacian. Symmetries of super-Laplacians are given by linear differential operators of arbitrary finite degree and are determined by superconformal Killing tensors. We investigate these operators and their symmetries in flat superspaces. The differential operators form an algebra which can be identified in many cases with the tensor algebra of the relevant superconformal Lie algebra modulo a certain ideal, and which have applications to Higher Spin theories.
Keywords
Cite
@article{arxiv.1612.06787,
title = {Super-Laplacians and their symmetries},
author = {P. S. Howe and U. Lindström},
journal= {arXiv preprint arXiv:1612.06787},
year = {2017}
}
Comments
25 pages, References and comments added