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

Mauro Francaviglia; M. Palese; E. Winterroth

Communications in Mathematics (2012)

  • Volume: 20, Issue: 1, page 13-22
  • ISSN: 1804-1388

Abstract

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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.

How to cite

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Francaviglia, Mauro, Palese, M., and Winterroth, E.. "Locally variational invariant field equations and global currents: Chern-Simons theories." Communications in Mathematics 20.1 (2012): 13-22. <http://eudml.org/doc/246897>.

@article{Francaviglia2012,
abstract = {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.},
author = {Francaviglia, Mauro, Palese, M., Winterroth, E.},
journal = {Communications in Mathematics},
keywords = {local variational problem; global current; Chern-Simons theory; local variational problem; global current; Chern-Simons theory},
language = {eng},
number = {1},
pages = {13-22},
publisher = {University of Ostrava},
title = {Locally variational invariant field equations and global currents: Chern-Simons theories},
url = {http://eudml.org/doc/246897},
volume = {20},
year = {2012},
}

TY - JOUR
AU - Francaviglia, Mauro
AU - Palese, M.
AU - Winterroth, E.
TI - Locally variational invariant field equations and global currents: Chern-Simons theories
JO - Communications in Mathematics
PY - 2012
PB - University of Ostrava
VL - 20
IS - 1
SP - 13
EP - 22
AB - 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.
LA - eng
KW - local variational problem; global current; Chern-Simons theory; local variational problem; global current; Chern-Simons theory
UR - http://eudml.org/doc/246897
ER -

References

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