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Conservation laws for non-global Lagrangians.

Borowiec, A.; Ferraris, M.; Francaviglia, M.; Palese, M. — 2003

Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Universitatis Iagellonicae Acta Mathematica

Locally variational invariant field equations and global currents: Chern-Simons theories

Mauro Francaviglia; M. Palese; E. Winterroth — 2012

Communications in Mathematics

We introduce the concept of conserved current variationally associated with locally variational invariant field equations. The invariance of the variation of the corresponding local presentation is a sufficient condition for the current beeing variationally equivalent to a global one. The case of a Chern-Simons theory is worked out and a global current is variationally associated with a Chern-Simons local Lagrangian.

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