Symmetries of supergeometries related to nonholonomic superdistributions
Boris Kruglikov, Andrea Santi, Dennis The
TL;DR
This paper extends Tanaka theory to supergeometry, providing bounds on supersymmetry dimensions for structures related to nonholonomic superdistributions on supermanifolds.
Contribution
It introduces a supergeometric extension of Tanaka theory and establishes upper bounds on supersymmetry for certain supergeometric structures.
Findings
Extended Tanaka theory to supergeometry.
Derived upper bounds on supersymmetry dimensions.
Applicable to strongly regular bracket-generating superdistributions.
Abstract
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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Taxonomy
TopicsHomotopy and Cohomology in Algebraic Topology · Advanced Combinatorial Mathematics · Advanced Topics in Algebra