35 citations · 232 across the 22 of their papers we have counts for
22 papers
On the notion of gauge symmetries of generic Lagrangian field theory
G. Giachetta, L. Mangiarotti, G. Sardanashvily
General Lagrangian theory of even and odd fields on an arbitrary smooth manifold is considered. Its non-trivial reducible gauge symmetries and their algebra are defined in this ver…
The antifield Koszul-Tate complex of reducible Noether identities
D. Bashkirov, G. Giachetta, L. Mangiarotti +1
A generic degenerate Lagrangian system of even and odd fields is examined in algebraic terms of the Grassmann-graded variational bicomplex. Its Euler-Lagrange operator obeys Noethe…
Lagrangian supersymmetries depending on derivatives. Global analysis and cohomology
G. Giachetta, L. Mangiarotti, G. Sardanashvily
Lagrangian contact supersymmetries (depending on derivatives of arbitrary order) are treated in very general setting. The cohomology of the variational bicomplex on an arbitrary gr…
Noether conservation laws in higher-dimensional Chern-Simons theory
G. Giachetta, L. Mangiarotti, G. Sardanashvily
Though a global Chern-Simons (2k-1)-form is not gauge invariant, this form seen as a Lagrangian of higher-dimensional gauge theory leads to the conservation law of a modified Noeth…
Lagrangian symmetries and supersymmetries depending on derivatives. Global analysis
G. Giachetta, L. Mangiarotti, G. Sardanashvily
Generalized symmetries and supersymmetries depending on derivatives of dynamic variables are treated in a most general setting. Studding cohomology of the variational bicomplex, we…
Non-adiabatic holonomy operators in classical and quantum completely integrable systems
G. Giachetta, L. Mangiarotti, G. Sardanashvily
Given a completely integrable system, we associate to any connection on its invariant tori fibred over a parameter manifold the classical and quantum holonomy operator (generalized…