Details
| Original language | English |
|---|---|
| Article number | 4 |
| Number of pages | 39 |
| Journal | Journal of high energy physics |
| Volume | 2022 |
| Issue number | 4 |
| Early online date | 1 Apr 2022 |
| Publication status | Published - 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
- Physics and Astronomy(all)
- Nuclear and High Energy Physics
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In: Journal of high energy physics, Vol. 2022, No. 4, 4, 04.2022.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - The coupling flow of N = 4 super Yang-Mills theory
AU - Rupprecht, Maximilian
N1 - Funding Information: Article funded by SCOAP3
PY - 2022/4
Y1 - 2022/4
N2 - 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.
AB - 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.
KW - Extended Supersymmetry
KW - Global Symmetries
KW - Supersymmetric Gauge Theory
UR - http://www.scopus.com/inward/record.url?scp=85127523249&partnerID=8YFLogxK
U2 - 10.48550/arXiv.2111.13223
DO - 10.48550/arXiv.2111.13223
M3 - Article
AN - SCOPUS:85127523249
VL - 2022
JO - Journal of high energy physics
JF - Journal of high energy physics
SN - 1029-8479
IS - 4
M1 - 4
ER -