Summary: In order to get a mathematical understanding of the BRS-transformation and the Slavnov-Taylor identities, we treat them in a finite dimensional setting. We show that in this setting the BRS-transformation is a vector field on a certain supermanifold. The connection to the BRS-complex will be established. Finally we treat the generating functional and the Slavnov-Taylor identity in this setting.
@article{701600, title = {BRS-transformations in a finite dimensional setting}, booktitle = {Proceedings of the 16th Winter School "Geometry and Physics"}, series = {GDML\_Books}, publisher = {Circolo Matematico di Palermo}, address = {Palermo}, year = {1997}, pages = {[107]-116}, mrnumber = {MR1469026}, zbl = {0881.58008}, url = {http://dml.mathdoc.fr/item/701600} }
Kraus, Margareta. BRS-transformations in a finite dimensional setting, dans Proceedings of the 16th Winter School "Geometry and Physics", GDML_Books, (1997), pp. [107]-116. http://gdmltest.u-ga.fr/item/701600/