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Becchi–Rouet–Stora–Tyutin structure of polynomial Poisson algebras

1994; American Institute of Physics; Volume: 35; Issue: 3 Linguagem: Inglês

10.1063/1.530592

1527-2427

Alain Dresse, Marc Henneaux,

Nonlinear Waves and Solitons

The Becchi–Rouet–Stora–Tyutin (BRST) structure of polynomial Poisson algebras is investigated. It is shown that Poisson algebras provide nontrivial models where the full BRST recursive procedure is needed. Quadratic Poisson algebras may already be of arbitrarily high rank. Explicit examples are provided, for which the first terms of the BRST generator are given. The calculations are cumbersome but purely algorithmic, and have been treated by means of the computer algebra system reduce. Our analysis is classical (=nonquantum) throughout.