Details
| Original language | English |
|---|---|
| Article number | 012062 |
| Journal | Journal of Physics: Conference Series |
| Volume | 1194 |
| Issue number | 1 |
| Early online date | 2 Oct 2019 |
| Publication status | E-pub ahead of print - 2 Oct 2019 |
| Event | 32nd International Colloquium on Group Theoretical Methods in Physics, ICGTMP 2018 - Prague, Czech Republic Duration: 9 Jul 2018 → 13 Jul 2018 |
Abstract
We review the construction of supersymmetric extension of the n-particle Euler-Calogero-Moser model within the Hamiltonian approach [1]. The main feature of the proposed supersymmetrization method is that it is automatically adapted for a model with an arbitrary even number of supersymmetries. It is shown that the number of fermions that must be used in this construction is 1/2N n(n+1). We demonstrate that the resulting supersymmetric system is dynamically invariant with respect to the superconformal group and give the explicit realization of its generators in terms of the conserved currents. For the simplest case of the supersymmetric n-particle Euler-Calogero-Moser model we provide its description in superspace by using the corresponding constrained superfields.
ASJC Scopus subject areas
- Physics and Astronomy(all)
- General Physics and Astronomy
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In: Journal of Physics: Conference Series, Vol. 1194, No. 1, 012062, 02.10.2019.
Research output: Contribution to journal › Conference article › Research › peer review
}
TY - JOUR
T1 - Extended supersymmetric multiparticle Euler-Calogero-Moser model
AU - Krivonos, S.
AU - Lechtenfeld, O.
AU - Sutulin, A.
N1 - Funding Information: This work was partially supported by the Heisenberg-Landau program. The work of S.K. was partially supported by RFBR grant 18-52-05002 Arm-a, the one of A.S. by RFBR grants 18-02-01046 and 18-52-05002 Arm-a. This article is based upon work from COST Action MP1405 QSPACE, supported by COST (European Cooperation in Science and Technology).
PY - 2019/10/2
Y1 - 2019/10/2
N2 - We review the construction of supersymmetric extension of the n-particle Euler-Calogero-Moser model within the Hamiltonian approach [1]. The main feature of the proposed supersymmetrization method is that it is automatically adapted for a model with an arbitrary even number of supersymmetries. It is shown that the number of fermions that must be used in this construction is 1/2N n(n+1). We demonstrate that the resulting supersymmetric system is dynamically invariant with respect to the superconformal group and give the explicit realization of its generators in terms of the conserved currents. For the simplest case of the supersymmetric n-particle Euler-Calogero-Moser model we provide its description in superspace by using the corresponding constrained superfields.
AB - We review the construction of supersymmetric extension of the n-particle Euler-Calogero-Moser model within the Hamiltonian approach [1]. The main feature of the proposed supersymmetrization method is that it is automatically adapted for a model with an arbitrary even number of supersymmetries. It is shown that the number of fermions that must be used in this construction is 1/2N n(n+1). We demonstrate that the resulting supersymmetric system is dynamically invariant with respect to the superconformal group and give the explicit realization of its generators in terms of the conserved currents. For the simplest case of the supersymmetric n-particle Euler-Calogero-Moser model we provide its description in superspace by using the corresponding constrained superfields.
UR - http://www.scopus.com/inward/record.url?scp=85065590801&partnerID=8YFLogxK
U2 - 10.1088/1742-6596/1194/1/012062
DO - 10.1088/1742-6596/1194/1/012062
M3 - Conference article
AN - SCOPUS:85065590801
VL - 1194
JO - Journal of Physics: Conference Series
JF - Journal of Physics: Conference Series
SN - 1742-6588
IS - 1
M1 - 012062
T2 - 32nd International Colloquium on Group Theoretical Methods in Physics, ICGTMP 2018
Y2 - 9 July 2018 through 13 July 2018
ER -