Details
| Original language | English |
|---|---|
| Pages (from-to) | 375-383 |
| Number of pages | 9 |
| Journal | Physics of atomic nuclei |
| Volume | 73 |
| Issue number | 2 |
| Publication status | Published - 1 Feb 2010 |
Abstract
N = 4 superconformal n-particle quantum mechanics on the real line is governed by two prepotentials, U and F, which obey a system of partial nonlinear differential equations generalizing the Witten-Dijkgraaf-Verlinde-Verlinde (WDVV) equation for F. The solutions are encoded by the finite Coxeter systems and certain deformations thereof, which can be encoded by particular polytopes. We provide An and B3 examples in some detail. Turning on the prepotential U in a given F background is very constrained for more than three particles and nonzero central charge. The standard ansatz for U is shown to fail for all finite Coxeter systems. Three-particle models are more flexible and based on the dihedral root systems.
ASJC Scopus subject areas
- Physics and Astronomy(all)
- Atomic and Molecular Physics, and Optics
- Physics and Astronomy(all)
- Nuclear and High Energy Physics
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In: Physics of atomic nuclei, Vol. 73, No. 2, 01.02.2010, p. 375-383.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - N = 4 mechanics, WDVV equations and polytopes
AU - Lechtenfeld, O.
N1 - Funding Information: The author is grateful to Anton Galajinsky and Kirill Polovnikov for a very fruitful collaboration. His work is partially supported by the Deutsche Forschungsgemeinschaft. Copyright: Copyright 2020 Elsevier B.V., All rights reserved.
PY - 2010/2/1
Y1 - 2010/2/1
N2 - N = 4 superconformal n-particle quantum mechanics on the real line is governed by two prepotentials, U and F, which obey a system of partial nonlinear differential equations generalizing the Witten-Dijkgraaf-Verlinde-Verlinde (WDVV) equation for F. The solutions are encoded by the finite Coxeter systems and certain deformations thereof, which can be encoded by particular polytopes. We provide An and B3 examples in some detail. Turning on the prepotential U in a given F background is very constrained for more than three particles and nonzero central charge. The standard ansatz for U is shown to fail for all finite Coxeter systems. Three-particle models are more flexible and based on the dihedral root systems.
AB - N = 4 superconformal n-particle quantum mechanics on the real line is governed by two prepotentials, U and F, which obey a system of partial nonlinear differential equations generalizing the Witten-Dijkgraaf-Verlinde-Verlinde (WDVV) equation for F. The solutions are encoded by the finite Coxeter systems and certain deformations thereof, which can be encoded by particular polytopes. We provide An and B3 examples in some detail. Turning on the prepotential U in a given F background is very constrained for more than three particles and nonzero central charge. The standard ansatz for U is shown to fail for all finite Coxeter systems. Three-particle models are more flexible and based on the dihedral root systems.
UR - http://www.scopus.com/inward/record.url?scp=77950430371&partnerID=8YFLogxK
U2 - 10.1134/S1063778810020262
DO - 10.1134/S1063778810020262
M3 - Article
AN - SCOPUS:77950430371
VL - 73
SP - 375
EP - 383
JO - Physics of atomic nuclei
JF - Physics of atomic nuclei
SN - 1063-7788
IS - 2
ER -