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The coupling flow of N = 4 super Yang-Mills theory

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Authors

  • Maximilian Rupprecht

Details

Original languageEnglish
Article number4
Number of pages39
JournalJournal of high energy physics
Volume2022
Issue number4
Early online date1 Apr 2022
Publication statusPublished - Apr 2022

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.

Keywords

    Extended Supersymmetry, Global Symmetries, Supersymmetric Gauge Theory

ASJC Scopus subject areas

Cite this

The coupling flow of N = 4 super Yang-Mills theory. / Rupprecht, Maximilian.
In: Journal of high energy physics, Vol. 2022, No. 4, 4, 04.2022.

Research output: Contribution to journalArticleResearchpeer review

Rupprecht M. The coupling flow of N = 4 super Yang-Mills theory. Journal of high energy physics. 2022 Apr;2022(4):4. Epub 2022 Apr 1. doi: 10.48550/arXiv.2111.13223, 10.1007/JHEP04(2022)004
Rupprecht, Maximilian. / The coupling flow of N = 4 super Yang-Mills theory. In: Journal of high energy physics. 2022 ; Vol. 2022, No. 4.
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