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BRS-transformations in a finite dimensional setting. (English) Zbl 0881.58008
Slovák, Jan (ed.), Proceedings of the 16th Winter School on geometry and physics, Srní, Czech Republic, January 13–20, 1996. Palermo: Circolo Matematico di Palermo, Suppl. Rend. Circ. Mat. Palermo, II. Ser. 46, 107-116 (1997).
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.
For the entire collection see [Zbl 0866.00050].
58A50 Supermanifolds and graded manifolds
81T13 Yang-Mills and other gauge theories in quantum field theory