Details
| Original language | English |
|---|---|
| Article number | 012001 |
| Number of pages | 11 |
| Journal | Journal of Physics: Conference Series |
| Volume | 2667 |
| Early online date | 18 Dec 2023 |
| Publication status | Published - 2023 |
| Event | 12th International Symposium on Quantum Theory and Symmetries, QTS 2023 - Prague, Czech Republic Duration: 24 Jul 2023 → 28 Jul 2023 |
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.
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In: Journal of Physics: Conference Series, Vol. 2667, 012001, 2023.
Research output: Contribution to journal › Conference article › Research › peer review
}
TY - JOUR
T1 - The Nicolai-map approach to supersymmetry
AU - Lechtenfeld, Olaf
PY - 2023
Y1 - 2023
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=85181105650&partnerID=8YFLogxK
U2 - 10.48550/arXiv.2309.00481
DO - 10.48550/arXiv.2309.00481
M3 - Conference article
AN - SCOPUS:85181105650
VL - 2667
JO - Journal of Physics: Conference Series
JF - Journal of Physics: Conference Series
SN - 1742-6588
M1 - 012001
T2 - 12th International Symposium on Quantum Theory and Symmetries, QTS 2023
Y2 - 24 July 2023 through 28 July 2023
ER -