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/