Details
| Original language | English |
|---|---|
| Article number | 291 |
| Number of pages | 12 |
| Journal | Proceedings of Science |
| Volume | 406 |
| Publication status | Published - 23 Nov 2022 |
| Event | 20th Hellenic School and Workshops on Elementary Particle Physics and Gravity, CORFU 2021 - Corfu, Greece Duration: 29 Aug 2021 → 9 Oct 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. We present a universal formula for the latter in terms of an ordered exponential of the integrated coupling flow operator, which can be canonically constructed. Also for supersymmetric gauge theories, this allows us to perturbatively construct the Nicolai map explicitly in terms of tree diagrams. For off-shell supersymmetry this works in any gauge, in the on-shell case the Landau gauge is required. The dimensional reduction of D=10 super Yang-Mills to maximally supersymmetric SU(N) matrix mechanics (the BFSS model) is known to provide a regularization of the D=11 supermembrane in light-cone gauge via its incarnation as a one-dimensional gauge theory of area-preserving membrane diffeomorphisms. We show how a well-defined corresponding Nicolai map perturbatively linearizes the supermembrane in the small-tension regime and points the way for a computation of vertex-operator correlators.
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In: Proceedings of Science, Vol. 406, 291, 23.11.2022.
Research output: Contribution to journal › Conference article › Research › peer review
}
TY - JOUR
T1 - The Nicolai map for super Yang-Mills theory and application to the supermembrane
AU - Lechtenfeld, Olaf
PY - 2022/11/23
Y1 - 2022/11/23
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. We present a universal formula for the latter in terms of an ordered exponential of the integrated coupling flow operator, which can be canonically constructed. Also for supersymmetric gauge theories, this allows us to perturbatively construct the Nicolai map explicitly in terms of tree diagrams. For off-shell supersymmetry this works in any gauge, in the on-shell case the Landau gauge is required. The dimensional reduction of D=10 super Yang-Mills to maximally supersymmetric SU(N) matrix mechanics (the BFSS model) is known to provide a regularization of the D=11 supermembrane in light-cone gauge via its incarnation as a one-dimensional gauge theory of area-preserving membrane diffeomorphisms. We show how a well-defined corresponding Nicolai map perturbatively linearizes the supermembrane in the small-tension regime and points the way for a computation of vertex-operator correlators.
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. We present a universal formula for the latter in terms of an ordered exponential of the integrated coupling flow operator, which can be canonically constructed. Also for supersymmetric gauge theories, this allows us to perturbatively construct the Nicolai map explicitly in terms of tree diagrams. For off-shell supersymmetry this works in any gauge, in the on-shell case the Landau gauge is required. The dimensional reduction of D=10 super Yang-Mills to maximally supersymmetric SU(N) matrix mechanics (the BFSS model) is known to provide a regularization of the D=11 supermembrane in light-cone gauge via its incarnation as a one-dimensional gauge theory of area-preserving membrane diffeomorphisms. We show how a well-defined corresponding Nicolai map perturbatively linearizes the supermembrane in the small-tension regime and points the way for a computation of vertex-operator correlators.
UR - http://www.scopus.com/inward/record.url?scp=85143767867&partnerID=8YFLogxK
U2 - 10.22323/1.406.0291
DO - 10.22323/1.406.0291
M3 - Conference article
AN - SCOPUS:85143767867
VL - 406
JO - Proceedings of Science
JF - Proceedings of Science
M1 - 291
T2 - 20th Hellenic School and Workshops on Elementary Particle Physics and Gravity, CORFU 2021
Y2 - 29 August 2021 through 9 October 2021
ER -