Details
| Original language | English |
|---|---|
| Article number | 65 |
| Journal | Journal of high energy physics |
| Volume | 2025 |
| Issue number | 2 |
| Publication status | Published - 12 Feb 2025 |
Abstract
Supersymmetric field theories can be characterized by their Nicolai map, which is a nonlinear and nonlocal field transformation to their free-field limit. The systematic construction of such maps has recently been outlined for actions with power more than two in the fermions, which produces a perturbative expansion in loop-decorated fermionic tree diagrams. We thoroughly investigate the nonlinear ℂP1 sigma model in (3+1)-dimensional Minkowski space as a paradigmatical example. We construct and test a chiral form of the Nicolai map, to third order in the coupling, including all (regularized) quantum parts. In addition, all trees with one or two edges are summed up. The free-action condition determines only the one-edge part of the map. We resolve the fermion loop decoration of the Nicolai trees by injecting an auxiliary vector field and present the ensuing classical Nicolai map to second order in a dimensionful coupling.
Keywords
- Sigma Models, Supersymmetric Effective Theories
ASJC Scopus subject areas
- Physics and Astronomy(all)
- Nuclear and High Energy Physics
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In: Journal of high energy physics, Vol. 2025, No. 2, 65, 12.02.2025.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Nicolai maps for supersymmetric sigma models
AU - Lechtenfeld, Olaf
N1 - Publisher Copyright: © The Author(s) 2025.
PY - 2025/2/12
Y1 - 2025/2/12
N2 - Supersymmetric field theories can be characterized by their Nicolai map, which is a nonlinear and nonlocal field transformation to their free-field limit. The systematic construction of such maps has recently been outlined for actions with power more than two in the fermions, which produces a perturbative expansion in loop-decorated fermionic tree diagrams. We thoroughly investigate the nonlinear ℂP1 sigma model in (3+1)-dimensional Minkowski space as a paradigmatical example. We construct and test a chiral form of the Nicolai map, to third order in the coupling, including all (regularized) quantum parts. In addition, all trees with one or two edges are summed up. The free-action condition determines only the one-edge part of the map. We resolve the fermion loop decoration of the Nicolai trees by injecting an auxiliary vector field and present the ensuing classical Nicolai map to second order in a dimensionful coupling.
AB - Supersymmetric field theories can be characterized by their Nicolai map, which is a nonlinear and nonlocal field transformation to their free-field limit. The systematic construction of such maps has recently been outlined for actions with power more than two in the fermions, which produces a perturbative expansion in loop-decorated fermionic tree diagrams. We thoroughly investigate the nonlinear ℂP1 sigma model in (3+1)-dimensional Minkowski space as a paradigmatical example. We construct and test a chiral form of the Nicolai map, to third order in the coupling, including all (regularized) quantum parts. In addition, all trees with one or two edges are summed up. The free-action condition determines only the one-edge part of the map. We resolve the fermion loop decoration of the Nicolai trees by injecting an auxiliary vector field and present the ensuing classical Nicolai map to second order in a dimensionful coupling.
KW - Sigma Models
KW - Supersymmetric Effective Theories
UR - http://www.scopus.com/inward/record.url?scp=86000006959&partnerID=8YFLogxK
U2 - 10.1007/JHEP02(2025)065
DO - 10.1007/JHEP02(2025)065
M3 - Article
AN - SCOPUS:86000006959
VL - 2025
JO - Journal of high energy physics
JF - Journal of high energy physics
SN - 1029-8479
IS - 2
M1 - 65
ER -