Details
Original language | English |
---|---|
Article number | L021701 |
Journal | Physical Review D |
Volume | 104 |
Issue number | 2 |
Publication status | Published - 7 Jul 2021 |
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.
ASJC Scopus subject areas
- Physics and Astronomy(all)
- Physics and Astronomy (miscellaneous)
Cite this
- Standard
- Harvard
- Apa
- Vancouver
- BibTeX
- RIS
In: Physical Review D, Vol. 104, No. 2, L021701, 07.07.2021.
Research output: Contribution to journal › Letter › Research › peer review
}
TY - JOUR
T1 - Universal form of the Nicolai map
AU - Lechtenfeld, Olaf
AU - Rupprecht, Maximilian
N1 - Funding Information: M. R. is supported by a PhD grant of the German Academic Scholarship Foundation.
PY - 2021/7/7
Y1 - 2021/7/7
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=85109319500&partnerID=8YFLogxK
U2 - 10.1103/physrevd.104.l021701
DO - 10.1103/physrevd.104.l021701
M3 - Letter
VL - 104
JO - Physical Review D
JF - Physical Review D
SN - 2470-0010
IS - 2
M1 - L021701
ER -