Year: 2026
Type: preprint
Abstract: We prove that the classical part of the Nicolai map for a supersymmetric free nonrelativistic particle moving on a Kähler manifold is linear in the Kähler metric and local for its velocity. Moreover, we give an exact expression for the one-loop correction of the map in terms of the Kähler potential and point out a direct way to higher loop order. This provides another example for the rare cases of exact Nicolai maps, and the first all-order one-loop result. As a check we have verified the Nicolai-map conditions to zero and one-loop order (free-action and determinant-matching). A graphical representation is given as well.
Source: arXiv (Cornell University)
Authors: Lechtenfeld, Olaf, Müller, Fin
Institution: Leibniz University Hannover
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7215948039