Contact structures and supersymmetric mechanics

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.

10 pages. No major revision. This version is slightly reworded to reflect the expositional nature of parts of the work. Further comments would be very much appreciated

References in corpus (3)

• Graded contact manifolds and contact Courant algebroids
• The Quantum Mechanics SUSY Algebra: An Introductory Review
• Differential graded contact geometry and Jacobi structures

Cited by in corpus (5)

• Graded contact manifolds and contact Courant algebroids
• Conformal bridge between asymptotic freedom and confinement
• Differential graded contact geometry and Jacobi structures
• Higher contact-like structures and supersymmetry
• Contact Quantization: Quantum Mechanics = Parallel transport