BRS and Anti-BRS Symmetry in Topological Yang–Mills Theory
نویسنده
چکیده
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.
منابع مشابه
Brs Cohomology in Topological String Theory and Integrable Systems
In cohomological field theory we can obtain topological invariants as correlation functions of BRS cohomology classes. A proper understanding of BRS cohomology which gives non-trivial results requires the equivariant cohomology theory. Both topological Yang-Mills theory and topological string theory are typical examples of this fact. After reviewing the role of the equivariant cohomology in top...
متن کاملAlgebraic Structures of Topological Yang-Mills Theory
We discuss the algebraic structure of the various BRST symmetries associated with topological Yang-Mills theory as a generalization of the BRS analysis developed for the non-Abelian anomaly in the local Yang-Mills theory. We show that our BRST algebra leads to an extended Russian formula and descent equations, which contains the descent equation of Yang-Mills theory as sub-relations. We propose...
متن کاملBRS symmetry versus supersymmetry in Yang-Mills-Chern-Simons theory
We prove that three-dimensional N = 1 supersymmetric Yang-Mills-ChernSimons theory is finite to all loop orders. In general this leaves open the possibility that different regularization methods lead to different finite effective actions. We show that in this model dimensional regularization and regularization by dimensional reduction yield the same effective action. Consequently, the superfiel...
متن کاملZero-Modes, Covariant Anomaly Counterparts and Reducible Connections in Topological Yang-Mills Theory
We introduce the covariant forms for the non-Abelian anomaly counterparts in topological Yang-Mills theory, which satisfies the topological descent equation modulo terms that vanish at the space of BRST fixed points. We use the covariant anomalies as a new set of observables, which can absorb both δ W and δ BRS ghost number violations of zeromodes. Then, we study some problems due to the zero-m...
متن کاملA Renormalized Supersymmetry in the Topological Yang - Mills Field Theory
We reconsider the algebraic BRS renormalization of Witten’s topological Yang-Mills field theory by making use of a vector supersymmetry Ward identity which improves the finiteness properties of the model. The vector supersymmetric structure is a common feature of several topological theories. The most general local counterterm is determined and is shown to be a trivial BRS-coboundary. Work supp...
متن کامل