(Anti-)dual-BRST symmetries: Abelian 2-form gauge theory

Details (Anti-)dual-BRST symmetries: Abelian 2-form gauge theory (Anti-)dual-BRST symmetries: Abelian 2-form gauge theory

2008-05-29

arxiv.org/abs/0805.4470v3

Europhys.Lett.84:31001,2008

Physics

High Energy Physics

High Energy Physics - Theory

LaTeX file, 11 pages, journal reference

Scientific paper

10.1209/0295-5075/84/31001

We derive the absolutely anticommuting (anti-)dual-BRST symmetry transformations for the appropriate Lagrangian densities of the (3 + 1)-dimensional (4D) free Abelian 2-form gauge theory, under which, the total gauge-fixing term remains invariant. These symmetry transformations are the analogue of the co-exterior derivative of differential geometry, in the same sense, as the absolutely anticommuting (anti-)BRST symmetry transformations are the analogue of the exterior derivative. A bosonic symmetry transformation is shown to be the analogue of the Laplacian operator. The algebraic structures of these symmetry transformations are derived and they are demonstrated to be the reminiscent of the algebra obeyed by the de Rham cohomological operators of differential geometry.

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