Extended BRST invariance in topological Yang Mills theory revisited

Abstract

Extended BRST invariance (BRST plus anti-BRST invariances) provides in principle a natural way of introducing the complete gauge fixing structure associated to a gauge field theory in the minimum representation of the algebra. However, as it happens in topological Yang Mills theory, not all gauge fixings can be obtained from a symmetrical extended BRST algebra, where antighosts belong to the same representation of the Lorentz group of the corresponding ghosts. We show here that, at non interacting level, a simple field redefinition makes it possible to start with an extended BRST algebra with symmetric ghost antighost spectrum and arrive at the gauge fixing action of topological Yang Mills theory.

arXiv commentInteraction terms heve been included in all the calculations. Two references added. Version to be published in Phys. Rev. D. 7 pages, Latex, no figures

References in corpus (1)

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

Cited by in corpus (4)

• Einsteinian gravity from a topological action
• Topological Yang-Mills theories in self-dual and anti-self-dual Landau gauges revisited
• Correspondence between the twisted $N=2$ super-Yang-Mills and conformal Baulieu-Singer theories
• Observables in Topological Yang-Mills Theories With Extended Shift Supersymmetry