Publications at the Riemann Center

The Nicolai-map approach to supersymmetry

Authored by

Olaf Lechtenfeld

Abstract

In 1980 Hermann Nicolai proposed a characterization of supersymmetric theories that became known as the Nicolai map. This is a particular nonlocal and nonlinear field transformation, whose perturbative expansion is given by fermion-line trees with bosonic leaves. Quantum correlation functions can by evaluated using the inversely transformed fields in the free theory. After initial promise and excitement (fuelling the author's PhD work!), the subject all but fell dormant for 35 years. Recently however, technical progress in the construction as well as a deeper insight into the nature of the map have been achieved, from quantum mechanics to super Yang-Mills in various dimensions. I will present the Nicolai map from this modern perspective and touch on some of the current developments.

Details

Organisation(s)
Institute of Theoretical Physics
Riemann Center for Geometry and Physics
Type
Conference article
Journal
Journal of Physics: Conference Series
Volume
2667
No. of pages
11
ISSN
1742-6588
Publication date
2023
Publication status
Published
Peer reviewed
Yes
ASJC Scopus subject areas
General Physics and Astronomy
Electronic version(s)
https://doi.org/10.1088/1742-6596/2667/1/012001 (Access: Open )
https://doi.org/10.48550/arXiv.2309.00481 (Access: Open )
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