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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Bibliographic Details
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
Citations: Items that this one cites
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Description
Summary: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.
ISSN:1083-4362
1531-586X
1531-586X
DOI:10.1007/s00031-022-09706-y