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.

Organisation(s)

Riemann Center for Geometry and Physics
Institut für Theoretische Physik

Type

Letter

Journal

Physical Review D

Volume

104

ISSN

2470-0010

Publication date

07.07.2021

Publication status

Veröffentlicht

Peer reviewed

Yes

ASJC Scopus Sachgebiete

Physik und Astronomie (sonstige)

Electronic version(s)

https://doi.org/10.1103/physrevd.104.l021701 (Access: Offen)