Publications at the Riemann Center

Universal form of the Nicolai map

Authored by

Olaf Lechtenfeld, Maximilian Rupprecht

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.

Details

Organisation(s)
Riemann Center for Geometry and Physics
Institute of Theoretical Physics
Type
Letter
Journal
Physical Review D
Volume
104
ISSN
2470-0010
Publication date
07.07.2021
Publication status
Published
Peer reviewed
Yes
ASJC Scopus subject areas
Physics and Astronomy (miscellaneous)
Electronic version(s)
https://doi.org/10.1103/physrevd.104.l021701 (Access: Open )