N=1 SYM Action and BRST Cohomology

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.

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

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• Magnetic Field Scaling of the Conductance of Epitaxial Cuprate-Manganite Bilayers
• On the Cohomological Structure of Supersymmetric Lagrangeans With and Without Auxiliary Fields
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Cited by in corpus (5)

• Renormalization aspects of N=1 Super Yang-Mills theory in the Wess-Zumino gauge
• N=2 SYM Action as a BRST Exact Term, Topological Yang Mills and Instantons
• Renormalizability of pure $\mathcal{N}=1$ Super Yang-Mills in the Wess-Zumino gauge in the presence of the local composite operators $A^2$ and $\bar{\lambda }\lambda$
• Duality invariance of non-anticommutative N=1/2 supersymmetric U(1) gauge theory
• N=2 Super Yang Mills Action and BRST Cohomology