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

authored by

Maximilian Rupprecht

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.

Organisation(s)

Institut für Theoretische Physik
Riemann Center for Geometry and Physics

Type

Artikel

Journal

Journal of high energy physics

Volume

2022

No. of pages

39

ISSN

1029-8479

Publication date

04.2022

Publication status

Veröffentlicht

Peer reviewed

Yes

ASJC Scopus Sachgebiete

Kern- und Hochenergiephysik

Electronic version(s)

https://doi.org/10.48550/arXiv.2111.13223 (Access: Offen)
https://doi.org/10.1007/JHEP04(2022)004 (Access: Offen)