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Algebraic structure of the BRST symmetry. (English) Zbl 0828.58019

An explicit construction of the BRST symmetry is presented in the Hamiltonian approach. The features of the construction are as follows. The homological perturbation theory is applied in the form the so-called transference problem. The Koszul-Tate differential \(\delta\) and the vertical derivation \(d\) are involved into the construction of the BRST differential \(s\). The construction allows one to create all BRST observables as well as to give a short proof of an isomorphism between the BRST cohomology and the cohomology of the vertical derivatives modulo of the Koszul exact forms.

MSC:

37J99 Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems
37C80 Symmetries, equivariant dynamical systems (MSC2010)
58J10 Differential complexes
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