Poisson structures in BRST-antiBRST invariant Lagrangian formalism

Details Poisson structures in BRST-antiBRST invariant Lagrangian formalism Poisson structures in BRST-antiBRST invariant Lagrangian formalism

2001-04-23

arxiv.org/abs/hep-th/0104189v3

Phys.Lett. B512 (2001) 211-216

Physics

High Energy Physics

High Energy Physics - Theory

6 pages, LATEX; revised version

Scientific paper

10.1016/S0370-2693(01)00663-3

We show that the specific operators V^a appearing in the triplectic formalism can be viewed as the anti-Hamiltonian vector fields generated by a second rank irreducible Sp(2) tensor. This allows for an explicit realization of the triplectic algebra being constructed from an arbitrary Poisson bracket on the space of the fields only, equipped by the flat Poisson connection. We show that the whole space of fields and antifields can be equipped with an even supersymplectic structure when this Poisson bracket is non-degenerate. This observation opens the possibility to provide the BRST/antiBRST path integral by a well-defined integration measure, as well as to establish a direct link between the Sp(2) symmetric Lagrangian and Hamiltonian BRST quantization schemes.

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