Details
| Original language | English |
|---|---|
| Pages (from-to) | 870-875 |
| Number of pages | 6 |
| Journal | Physics of atomic nuclei |
| Volume | 74 |
| Issue number | 6 |
| Publication status | Published - Jun 2011 |
Abstract
We report on the new approach to constructing superconformal extensions of the Calogerotype systems with an arbitrary number of involved particles. It is based upon the superfield gauging of non-Abelian isometries of some supersymmetric matrix models. Among its applications, we focus on the new N = 4 superconformal system yielding the U(2)-spin Calogero model in the bosonic sector, and the one-particle case of this system, which is a new OSp(4{pipe}2) superconformal mechanics with nondynamical U(2) spin variables. The characteristic feature of thesemodels is that the strength of the conformal inverse-square potential is quantized.
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. 74, No. 6, 06.2011, p. 870-875.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - New super-Calogero models and OSp(4ǀ2) superconformal mechanics
AU - Fedoruk, S. A.
AU - Ivanov, E. A.
AU - Lechtenfeld, O.
N1 - Funding Information: We acknowledge a support from a DFG grant, project no. 436 RUS/113/669 (E.I. & O.L.), the RFBR grants nos. 08-02-90490, 09-02-01209, and 09-01-93107 (S.F. & E.I.), and a grant of the Heisenberg–Landau Program. Copyright: Copyright 2020 Elsevier B.V., All rights reserved.
PY - 2011/6
Y1 - 2011/6
N2 - We report on the new approach to constructing superconformal extensions of the Calogerotype systems with an arbitrary number of involved particles. It is based upon the superfield gauging of non-Abelian isometries of some supersymmetric matrix models. Among its applications, we focus on the new N = 4 superconformal system yielding the U(2)-spin Calogero model in the bosonic sector, and the one-particle case of this system, which is a new OSp(4{pipe}2) superconformal mechanics with nondynamical U(2) spin variables. The characteristic feature of thesemodels is that the strength of the conformal inverse-square potential is quantized.
AB - We report on the new approach to constructing superconformal extensions of the Calogerotype systems with an arbitrary number of involved particles. It is based upon the superfield gauging of non-Abelian isometries of some supersymmetric matrix models. Among its applications, we focus on the new N = 4 superconformal system yielding the U(2)-spin Calogero model in the bosonic sector, and the one-particle case of this system, which is a new OSp(4{pipe}2) superconformal mechanics with nondynamical U(2) spin variables. The characteristic feature of thesemodels is that the strength of the conformal inverse-square potential is quantized.
UR - http://www.scopus.com/inward/record.url?scp=79959638579&partnerID=8YFLogxK
U2 - 10.1134/S1063778811060081
DO - 10.1134/S1063778811060081
M3 - Article
AN - SCOPUS:79959638579
VL - 74
SP - 870
EP - 875
JO - Physics of atomic nuclei
JF - Physics of atomic nuclei
SN - 1063-7788
IS - 6
ER -