Publications at the Riemann Center
Nicolai maps for supersymmetric sigma models
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.
Details
- Organisation(s)
-
Institute of Theoretical Physics
Riemann Center for Geometry and Physics
- Type
- Article
- Journal
- Journal of high energy physics
- Volume
- 2025
- ISSN
- 1029-8479
- Publication date
- 12.02.2025
- Publication status
- Published
- Peer reviewed
- Yes
- ASJC Scopus subject areas
- Nuclear and High Energy Physics
- Electronic version(s)
-
https://doi.org/10.1007/JHEP02(2025)065 (Access:
Open
)
