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Perturbative linearization of supersymmetric Yang-Mills theory
Authors
Sudarshan Ananth
Olaf Lechtenfeld
+4 more
Hannes Malcha
Hermann Nicolai
Chetan Pandey
Saurabh Pant
Publication date
1 January 2020
Publisher
Berlin [u.a.] : Springer
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arXiv
Abstract
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)
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Institutionelles Repositorium der Leibniz Universität Hannover
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Last time updated on 11/04/2021
MPG.PuRe
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Last time updated on 09/09/2020