N = 1 SYM action and BRST cohomology

Aug, 2001
9 pages
Published in:
  • Mod.Phys.Lett.A 17 (2002) 739-749
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Abstract:
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.
  • gauge field theory: Yang-Mills
  • supersymmetry
  • field theory: action
  • Slavnov identity
  • cohomology: operator