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Geometry of BRST-formalism. (English) Zbl 0678.17015
Proc. Winter Sch. Geom. Phys., SrnĂ­/Czech. 1988, Suppl. Rend. Circ. Mat. Palermo, II. Ser. 21, 83-92 (1989).
[For the entire collection see Zbl 0672.00006.]
The work presents a geometrical approach to the BRST formalism in supersymmetry. It is based on a concept of infinite-dimensional supermanifold whose base space is the configuration space of all classical fields. The effective action is a functional on the supermanifold and a system of vector fields is found which forms the Lie superalgebra. It is shown that using Gelfand’s formal geometry it is possible to describe the BRST formalism on the local level.
Reviewer: L.Sokolowski
MSC:
17B70 Graded Lie (super)algebras
58C50 Analysis on supermanifolds or graded manifolds
81T60 Supersymmetric field theories in quantum mechanics
17A70 Superalgebras