# N=2 Super Yang Mills Action and BRST Cohomology

Source: [N=2 Super Yang Mills Action and BRST Cohomology](<https://www.sota2.com/research/paper/68fa26462c2a3760193b86c1>)

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

Data updated: 2025-10-24T11:16:52.020Z

Authors: K. Ulker

Published: 2003-07-29T12:50:03.000Z

## Abstract

The extended BRST cohomology of N=2 super Yang-Mills theory is discussed in the framework of Algebraic Renormalization. In particular, N=2 supersymmetric descent equations are derived from the cohomological analysis of linearized Slavnov-Taylor operator $\\B$. It is then shown that both off- and on-shell N=2 super Yang-Mills actions are related to a lower-dimensional gauge invariant field polynomial $Tr\\f^2$ by solving these descent equations. Moreover, it is found that these off- and on-shell solutions differ only by a $\\B-$exact term, which can be interprated as a consequence of the fact that the cohomology of both cases are the same.

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/hep-th/0307279>)

[PDF](<https://arxiv.org/pdf/hep-th/0307279.pdf>)