N=1 SYM Action and BRST Cohomology

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 cohom...

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Bibliographic Details
Published in:arXiv.org 2002-04
Main Author: Ulker, K
Format: Article
Language:English
Subjects:
Homology
Mathematical analysis
Polynomials
Supersymmetry
Online Access:Get full text
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Summary: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.
ISSN:2331-8422
DOI:10.48550/arxiv.0108062