Geometrical interpretation of BRST symmetry in topological Yang{endash}Mills{endash}Higgs theory
- Department of Physics, Sejong University, Seoul 143-747 (Korea)
We study the topological Yang{endash}Mills{endash}Higgs theories in two and three dimensions and the topological Yang{endash}Mills theory in four dimensions in a unified framework of superconnections. In this framework, we first show that a classical action of topological Yang{endash}Mills type can provide all three classical actions of these theories via appropriate projections. Then we obtain the Becchi{endash}Rouet{endash}Stora{endash}Tyutin (BRST) and anti-BRST transformation rules encompassing these three topological theories from an extended definition of curvature and a geometrical requirement of the Bianchi identity. This is an extension of Perry and Teo{close_quote}s work in the topological Yang{endash}Mills case. Finally, comparing this result with our previous treatment in which we used the {open_quote}{open_quote}modified horizontality condition,{close_quote}{close_quote} we provide a meaning of the Bianchi identity from the BRST symmetry viewpoint and thus interpret the BRST symmetry in a geometrical setting. {copyright} {ital 1996 American Institute of Physics.}
- OSTI ID:
- 388184
- Journal Information:
- Journal of Mathematical Physics, Journal Name: Journal of Mathematical Physics Journal Issue: 11 Vol. 37; ISSN JMAPAQ; ISSN 0022-2488
- Country of Publication:
- United States
- Language:
- English
Similar Records
Unconstrained BRST superfield theories. [BRST (Becchi-Rouet-Stora-Tyutin)]
Remark on the BRST symmetry in the Gribov-Zwanziger theory