BRS and Anti-BRS Symmetry in Topological Yang--Mills Theory

Details BRS and Anti-BRS Symmetry in Topological Yang--Mills Theory BRS and Anti-BRS Symmetry in Topological Yang--Mills Theory

1992-09-21

arxiv.org/abs/hep-th/9209072v1

Nucl.Phys. B392 (1993) 369-384

Physics

High Energy Physics

High Energy Physics - Theory

17 pages, harvmac, DAMTP R92/33

Scientific paper

10.1016/0550-3213(93)90677-H

We incorporate both BRS symmetry and anti-BRS symmetry into the quantisation of topological Yang--Mills theory. This refines previous treatments which consider only the BRS symmetry. Our formalism brings out very clearly the geometrical meaning of topological Yang--Mills theory in terms of connections and curvatures in an enlarged superspace; and its simple relationship to the geometry of ordinary Yang--Mills theory. We also discover a certain SU(3) triality between physical spacetime, and the two ghost directions of superspace. Finally, we demonstrate how to recover the usual gauge-fixed topological Yang--Mills action from our formalism.

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