Symmetries of Supergeometries Related to Nonholonomic Superdistributions

We extend Tanaka theory to the context of supergeometry and obtain an upper bound on the supersymmetry dimension of geometric structures related to strongly regular bracket-generating distributions on supermanifolds and their structure reductions.

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Published in:Transformation groups 2024-03, Vol.29 (1), p.179-229
Main Authors: Kruglikov, B., Santi, A., The, D.
Format: Article
Language:English
Subjects:
Algebra
Lie Groups
Mathematics
Mathematics and Statistics
Supersymmetry
Topological Groups
Upper bounds
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creator Kruglikov, B.
Santi, A.
The, D.
description We extend Tanaka theory to the context of supergeometry and obtain an upper bound on the supersymmetry dimension of geometric structures related to strongly regular bracket-generating distributions on supermanifolds and their structure reductions.
doi_str_mv 10.1007/s00031-022-09706-y
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source NORA - Norwegian Open Research Archives; Springer Link
subjects Algebra
Lie Groups
Mathematics
Mathematics and Statistics
Supersymmetry
Topological Groups
Upper bounds
title Symmetries of Supergeometries Related to Nonholonomic Superdistributions
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