Contact structures and supersymmetric mechanics
Andrew James Bruce
TL;DR
This paper explores the connection between contact geometry on supermanifolds and supersymmetric mechanics, providing a geometric framework for understanding the d = 1, N = 2 super-Poincare algebra.
Contribution
It introduces a contact geometric perspective to supersymmetric mechanics, linking contact structures with superspace formulations of super-Poincare algebra.
Findings
Established a geometric interpretation of supersymmetric mechanics using contact structures.
Connected contact geometry with the algebraic structure of supersymmetry.
Provided a framework for applying contact geometry to supersymmetric theories.
Abstract
We reexamine the relation between contact structures on supermanifolds and supersymmetric mechanics in the superspace formulation. This allows one to use the language of contact geometry when dealing with the d = 1, N = 2 super-Poincare algebra.
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Taxonomy
TopicsGeometric and Algebraic Topology · Homotopy and Cohomology in Algebraic Topology · Advanced Combinatorial Mathematics