# N=1 SYM Action and BRST Cohomology

Source: [N=1 SYM Action and BRST Cohomology](<https://www.sota2.com/research/paper/68fa25822c2a3760193b0ed4>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-24T10:46:09.502Z

Authors: K. Ulker

Published: 2001-08-09T17:27:00.000Z

## 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.

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/hep-th/0108062>)

[PDF](<https://arxiv.org/pdf/hep-th/0108062.pdf>)