N=1 SYM Action and BRST Cohomology

Details N=1 SYM Action and BRST Cohomology N=1 SYM Action and BRST Cohomology

2001-08-09

arxiv.org/abs/hep-th/0108062v3

Mod.Phys.Lett. A17 (2002) 739-749

Physics

High Energy Physics

High Energy Physics - Theory

14 Pages, LaTex. Revised version. To be published in MPLA

Scientific paper

10.1142/S0217732302007016

The relation between BRST cohomology and the N=1 supersymmetric Yang-Mills action in 4 dimensions is discussed. In particular, it is shown that both off and on shell N=1 SYM actions are related to a lower dimensional field polynomial by solving the descent equations, which is obtained from the cohomological analysis of linearized Slavnov-Taylor operator $\B$, in the framework of Algebraic Renormalization. Furthermore we show that off and on shell solutions differ only by a $\B$- exact term, which is a consequence of the fact that the cohomology of both cases are same.

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