N=2 superYang-Mills action and BRST cohomology

The extended BRST cohomology of N=2 super Yang-Mills theory is discussed in the framework of Algebraic Renormalization. In particular, N=2 supersymmetric descent equations are derived from the cohomological analysis of linearized Slavnov-Taylor operator \B. It is then shown that both off- and on-shell N=2 super Yang-Mills actions are related to a lower-dimensional gauge invariant field polynomial Tr\f^2 by solving these descent equations. Moreover, it is found that these off- and on-shell solutions differ only by a \B-exact term, which can be interprated as a consequence of the fact that the cohomology of both cases are the same.

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Latex, 1+13 pages

gauge field theory: Yang-Mills
supersymmetry
cohomology: Becchi-Rouet-Stora
transformation: gauge
Slavnov identity

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