Rupprecht, M.: The coupling flow of N = 4 super Yang-Mills theory. In: Journal of high energy physics : JHEP 2022 (2022), Nr. 4, 4. DOI: https://doi.org/10.1007/jhep04(2022)004
Abstract: | |
We offer a novel perspective on N = 4 supersymmetric Yang-Mills (SYM) theory through the framework of the Nicolai map, a transformation of the bosonic fields that allows one to compute quantum correlators in terms of a free, purely bosonic functional measure. Generally, any Nicolai map is obtained through a path-ordered exponential of the so-called coupling flow operator. The latter can be canonically constructed in any gauge using an N = 1 off-shell superfield formulation of N = 4 SYM, or alternatively through dimensional reduction of the result from N = 1 D = 10 SYM, in which case we need to restrict to the Landau gauge. We propose a general theory of the N = 4 coupling flow operator, arguing that it exhibits an ambiguity in form of an R-symmetry freedom given by the Lie algebra su(4). This theory incorporates our two construction approaches as special points in su(4) and defines a broad class of Nicolai maps for N = 4 SYM. | |
License of this version: | CC BY 4.0 Unported |
Document Type: | Article |
Publishing status: | publishedVersion |
Issue Date: | 2022 |
Appears in Collections: | Fakultät für Mathematik und Physik Forschungsinitiativen |
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