Perturbative linearization of supersymmetric Yang-Mills theory

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Ananth, S.; Lechtenfeld, O.; Malcha, H.; Nicolai, H.; Pandey, C. et al.: Perturbative linearization of supersymmetric Yang-Mills theory. In: Journal of High Energy Physics (JHEP) 2020 (2020), Nr. 10, 199. DOI:

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Sum total of downloads: 52

Supersymmetric gauge theories are characterized by the existence of a transformation of the bosonic fields (Nicolai map) such that the Jacobi determinant of the transformation equals the product of the Matthews-Salam-Seiler and Faddeev-Popov determinants. This transformation had been worked out to second order in the coupling constant. In this paper, we extend this result (and the framework itself) to third order in the coupling constant. A diagrammatic approach in terms of tree diagrams, aiming to extend this map to arbitrary orders, is outlined. This formalism bypasses entirely the use of anti-commuting variables, as well as issues concerning the (non-)existence of off-shell formulations for these theories. It thus offers a fresh perspective on supersymmetric gauge theories and, in particular, the ubiquitous N = 4 theory. © 2020, The Author(s).
License of this version: CC BY 4.0 Unported
Document Type: Article
Publishing status: publishedVersion
Issue Date: 2020
Appears in Collections:Fakultät für Mathematik und Physik

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pos. country downloads
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1 image of flag of Germany Germany 24 46.15%
2 image of flag of United States United States 14 26.92%
3 image of flag of China China 8 15.38%
4 image of flag of Czech Republic Czech Republic 2 3.85%
5 image of flag of No geo information available No geo information available 1 1.92%
6 image of flag of Taiwan Taiwan 1 1.92%
7 image of flag of Russian Federation Russian Federation 1 1.92%
8 image of flag of Japan Japan 1 1.92%

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