Details
| Original language | English |
|---|---|
| Pages (from-to) | 801-806 |
| Number of pages | 6 |
| Journal | Physics Letters, Section A: General, Atomic and Solid State Physics |
| Volume | 374 |
| Issue number | 6 |
| Publication status | Published - 25 Jan 2010 |
Abstract
We split the generic conformal mechanical system into a "radial" and an "angular" part, where the latter is defined as the Hamiltonian system on the orbit of the conformal group, with the Casimir function in the role of the Hamiltonian. We reduce the analysis of the constants of motion of the full system to the study of certain differential equations on this orbit. For integrable mechanical systems, the conformal invariance renders them superintegrable, yielding an additional series of conserved quantities originally found by Wojciechowski in the rational Calogero model. Finally, we show that, starting from any N = 4 supersymmetric "angular" Hamiltonian system one may construct a new system with full N = 4 superconformal D (1, 2 ; α) symmetry.
ASJC Scopus subject areas
- Physics and Astronomy(all)
- General Physics and Astronomy
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In: Physics Letters, Section A: General, Atomic and Solid State Physics, Vol. 374, No. 6, 25.01.2010, p. 801-806.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Hidden symmetries of integrable conformal mechanical systems
AU - Hakobyan, Tigran
AU - Krivonos, Sergey
AU - Lechtenfeld, Olaf
AU - Nersessian, Armen
N1 - Funding Information: T.H. and A.N. are grateful to Vahagn Yeghikyan for the useful comments. A.N. acknowledges the hospitality in Dubna, where the part of this work has been done. The work was supported in part by RFBR 08-02-90490-Ukr , 06-16-1684 (S.K.), DFG 436 Rus 113/669/03 (S.K., O.L), ANSEF PS1730 (A.N.) and NFSAT-CRDF UC-06/07 (T.H., A.N.) grants. Copyright: Copyright 2020 Elsevier B.V., All rights reserved.
PY - 2010/1/25
Y1 - 2010/1/25
N2 - We split the generic conformal mechanical system into a "radial" and an "angular" part, where the latter is defined as the Hamiltonian system on the orbit of the conformal group, with the Casimir function in the role of the Hamiltonian. We reduce the analysis of the constants of motion of the full system to the study of certain differential equations on this orbit. For integrable mechanical systems, the conformal invariance renders them superintegrable, yielding an additional series of conserved quantities originally found by Wojciechowski in the rational Calogero model. Finally, we show that, starting from any N = 4 supersymmetric "angular" Hamiltonian system one may construct a new system with full N = 4 superconformal D (1, 2 ; α) symmetry.
AB - We split the generic conformal mechanical system into a "radial" and an "angular" part, where the latter is defined as the Hamiltonian system on the orbit of the conformal group, with the Casimir function in the role of the Hamiltonian. We reduce the analysis of the constants of motion of the full system to the study of certain differential equations on this orbit. For integrable mechanical systems, the conformal invariance renders them superintegrable, yielding an additional series of conserved quantities originally found by Wojciechowski in the rational Calogero model. Finally, we show that, starting from any N = 4 supersymmetric "angular" Hamiltonian system one may construct a new system with full N = 4 superconformal D (1, 2 ; α) symmetry.
UR - http://www.scopus.com/inward/record.url?scp=73249126968&partnerID=8YFLogxK
U2 - 10.1016/j.physleta.2009.12.006
DO - 10.1016/j.physleta.2009.12.006
M3 - Article
AN - SCOPUS:73249126968
VL - 374
SP - 801
EP - 806
JO - Physics Letters, Section A: General, Atomic and Solid State Physics
JF - Physics Letters, Section A: General, Atomic and Solid State Physics
SN - 0375-9601
IS - 6
ER -