Universal form of the Nicolai map
High Energy Physics - Theory
2021-07-14 v2 Mathematical Physics
math.MP
Abstract
The nonlocal bosonic theory obtained from integrating out all anticommuting and auxiliary variables in a globally supersymmetric theory is characterized by the Nicolai map. The latter is generated by a coupling flow functional differential operator, which can be canonically constructed when the supersymmetry is realized off-shell. Given any scalar superfield theory, we present a universal formula for both the Nicolai map and its inverse in terms of an ordered exponential of the integrated coupling flow operator. We demonstrate that our formula also holds for supersymmetric gauge theories.
Cite
@article{arxiv.2104.00012,
title = {Universal form of the Nicolai map},
author = {Olaf Lechtenfeld and Maximilian Rupprecht},
journal= {arXiv preprint arXiv:2104.00012},
year = {2021}
}
Comments
1+7 pages; v2: minor corrections, outlook slightly extended, two refs. added, matches published version