BRST Cohomology of N=2 Super-Yang-Mills Theory in 4D

Details BRST Cohomology of N=2 Super-Yang-Mills Theory in 4D BRST Cohomology of N=2 Super-Yang-Mills Theory in 4D

1998-11-20

arxiv.org/abs/hep-th/9811191v2

J.Phys.G26:1117-1130,2000

Physics

High Energy Physics

High Energy Physics - Theory

22 pages, LaTeX, final version to appear in Journ. Phys. G

Scientific paper

10.1088/0954-3899/26/8/302

The BRST cohomology of the N=2 supersymmetric Yang-Mills theory in four dimensions is discussed by making use of the twisted version of the N=2 algebra. By the introduction of a set of suitable constant ghosts associated to the generators of N=2, the quantization of the model can be done by taking into account both gauge invariance and supersymmetry. In particular, we show how the twisted N=2 algebra can be used to obtain in a straightforward way the relevant cohomology classes. Moreover, we shall be able to establish a very useful relationship between the local gauge invariant polynomial $tr\phi^2$ and the complete N=2 Yang-Mills action. This important relation can be considered as the first step towards a fully algebraic proof of the one-loop exactness of the N=2 beta function.

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