Geometrical Interpretation of BRST Symmetry in Topological Yang-Mills-Higgs Theory

Details Geometrical Interpretation of BRST Symmetry in Topological Yang-Mills-Higgs Theory Geometrical Interpretation of BRST Symmetry in Topological Yang-Mills-Higgs Theory

1996-03-29

arxiv.org/abs/hep-th/9603197v1

J.Math.Phys. 37 (1996) 5342-5350

Physics

High Energy Physics

High Energy Physics - Theory

16 pages, LaTeX file

Scientific paper

10.1063/1.531728

We study topological Yang-Mills-Higgs theories in two and three dimensions and topological Yang-Mills theory in four dimensions in a unified framework of superconnections. In this framework, we first show that a classical action of topological Yang-Mills type can provide all three classical actions of these theories via appropriate projections. Then we obtain the BRST and anti-BRST transformation rules encompassing these three topological theories from an extended definition of curvature and a geometrical requirement of Bianchi identity. This is an extension of Perry and Teo's work in the topological Yang-Mills case. Finally, comparing this result with our previous treatment in which we used the ``modified horizontality condition", we provide a meaning of Bianchi identity from the BRST symmetry viewpoint and thus interpret the BRST symmetry in a geometrical setting.

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