Details
| Original language | English |
|---|---|
| Article number | 199 |
| Journal | Journal of high energy physics |
| Volume | 2020 |
| Issue number | 10 |
| Publication status | Published - 29 Oct 2020 |
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.
Keywords
- Extended Supersymmetry, Field Theories in Higher Dimensions, Gauge Symmetry, 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. 2020, No. 10, 199, 29.10.2020.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Perturbative linearization of supersymmetric Yang-Mills theory
AU - Ananth, Sudarshan
AU - Lechtenfeld, Olaf
AU - Malcha, Hannes
AU - Nicolai, Hermann
AU - Pandey, Chetan
AU - Pant, Saurabh
PY - 2020/10/29
Y1 - 2020/10/29
N2 - 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.
AB - 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.
KW - Extended Supersymmetry
KW - Field Theories in Higher Dimensions
KW - Gauge Symmetry
KW - Supersymmetric Gauge Theory
UR - http://www.scopus.com/inward/record.url?scp=85094681644&partnerID=8YFLogxK
U2 - 10.1007/JHEP10(2020)199
DO - 10.1007/JHEP10(2020)199
M3 - Article
AN - SCOPUS:85094681644
VL - 2020
JO - Journal of high energy physics
JF - Journal of high energy physics
SN - 1029-8479
IS - 10
M1 - 199
ER -