The meaning of time and covariant superderivatives in supermechanics

DOI10.1155/2009/987524zbMath1201.81063OpenAlexW2099425072WikidataQ58646988 ScholiaQ58646988MaRDI QIDQ606111

José A. Vallejo-Rodríguez, Gil Salgado

Publication date: 16 November 2010

Published in: Advances in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/228568

Mathematics Subject Classification ID

Supersymmetric field theories in quantum mechanics (81T60) Supermanifolds and graded manifolds (58A50) Supersymmetry and quantum mechanics (81Q60) Solvable, nilpotent (super)algebras (17B30) Functional analysis on superspaces (supermanifolds) or graded spaces (46S60)

Related Items (4)

On the differential equation of first and second order in the Zeon algebra ⋮ On a geometric framework for Lagrangian supermechanics ⋮ Symplectic scalar curvature on the supermanifold of differential forms ⋮ On the second order differential equation involving two ordinary and one para-Grassmann variable

Cites Work

• Integral curves of derivations
• Vector fields and differential equations on supermanifolds
• On the structure of DeWitt supermanifolds
• Connections and splittings of super-manifolds
• Supersymmetry versus integrability in two-dimensional classical mechanics.
• Existence and uniqueness of solutions to superdifferential equations
• THE BATALIN-VILKOVISKY METHOD OF QUANTIZATION MADE EASY: ODD TIME FORMULATION
• The Structure of Supermanifolds
• Lie Supergroup Actions on Supermanifolds
• The Feynman principle for a Fermi system
• INTRODUCTION TO THE THEORY OF SUPERMANIFOLDS
• R 1∣1 -Supergroup Actions and Superdifferential Equations
• Hamiltonian versus Lagrangian formulations of supermechanics
• The symplectic structure of Euler Lagrange superequations and Batalin Vilkoviski formalism
• Supersymmetry and the Atiyah-Singer index theorem
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