Geometrical foundations of Lagrangian supermechanics and supersymmetry

DOI10.1016/0034-4877(93)90031-9zbMath0796.70013OpenAlexW1996822402MaRDI QIDQ1322739

Jesús Marín-Solano, Luis A. Ibort

Publication date: 5 May 1994

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0034-4877(93)90031-9

zbMATH Keywords

Noether's theoremLie supergroupsconfiguration superspaceEuler-Lagrange superequations of motiontangent supermanifoldvelocity superspace

Mathematics Subject Classification ID

Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45) Hamiltonian and Lagrangian mechanics (70H99)

Related Items (11)

FERMIONIC FIELDS IN THE FUNCTIONAL APPROACH TO CLASSICAL FIELD THEORY ⋮ Unnamed Item ⋮ A geometrical version of Noether's theorem in supermechanics ⋮ Lagrangian formalism over graded algebras ⋮ On a geometric framework for Lagrangian supermechanics ⋮ Singular Lagrangians in supermechanics. ⋮ Marsden–Weinstein reduction on graded symplectic manifolds ⋮ Nonlinear dynamics from linear quantum evolutions ⋮ Recursion operators and constants of motion in supermechanics ⋮ Graded vector fields and involutive distributions on graded manifolds ⋮ Dynamical Symmetries for Graded Vector Fields

Cites Work

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