A Renormalized Supersymmetry in the Topological Yang-Mills Field Theory

Abstract

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.

18 pages, report REF. TUW 94-10 and UGVA-DPT 1994/07-858

References in corpus (1)

• Supersymmetric Structure of the Bosonic String Theory in the Beltrami Parametrization

Cited by in corpus (18)

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• Note on Constrained Cohomology
• Twisted N=4 SUSY Algebra in Topological Models of Schwarz Type
• An Algebraic Criterion for the Ultraviolet Finiteness of Quantum Field Theories
• Symmetries of topological field theories in the BV-framework
• Topological Yang-Mills theories in self-dual and anti-self-dual Landau gauges revisited
• Absence of radiative corrections in 4-dimensional topological Yang-Mills theories
• More about the renormalization properties of topological Yang-Mills theories
• Infinitesimal Gribov copies in gauge-fixed topological Yang-Mills theories
• Symmetries and observables in topological gravity
• Correspondence between the twisted $N=2$ super-Yang-Mills and conformal Baulieu-Singer theories
• Vector Supersymmetry of 2D Yang-Mills Theory
• Topological symmetry-restored phase of gravity
• Interacting six-dimensional topological field theories
• Supersymmetric structure of the induced W gravities
• The finiteness of the four dimensional antisymmetric tensor field model in a curved background
• Algebraic renormalization of twisted N=2 supersymmetry with Z=2 central extension
• Spontaneous symmetry breaking in a non-Abelian topological gauge theory