Super-Laplacians and their symmetries

Autor: P. S. Howe, U. Lindström
Jazyk: angličtina
Rok vydání: 2017
Předmět:
Zdroj: Journal of High Energy Physics, Vol 2017, Iss 5, Pp 1-27 (2017)
Druh dokumentu: article
ISSN: 1029-8479
DOI: 10.1007/JHEP05(2017)119
Popis: Abstract A super-Laplacian is a set of differential operators in superspace whose highestdimensional 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 in flat superspaces. The differential operators determining the symmetries give rise to algebras which can be identified in many cases with the tensor algebras of the relevant superconformal Lie algebras modulo certain ideals. They have applications to Higher Spin theories.
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