BRS and anti-BRS symmetry in topological Yang-Mills theory

Sep, 1992
17 pages
Published in:
  • Nucl.Phys.B 392 (1993) 369-384
e-Print:
Report number:
  • DAMTP-R-92-33

Citations per year

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Abstract:
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.
  • gauge field theory: Yang-Mills
  • field theory: topological
  • invariance: Becchi-Rouet-Stora
  • supersymmetry: superspace
  • symmetry: SU(3)
  • differential forms