Details
| Original language | English |
|---|---|
| Pages (from-to) | 385-389 |
| Number of pages | 5 |
| Journal | Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics |
| Volume | 791 |
| Early online date | 7 Mar 2019 |
| Publication status | Published - 10 Apr 2019 |
Abstract
We present a surprising redefinition of matrix fermions which brings the supercharges of the N-extended supersymmetric An−1 Calogero model introduced in [1] to the standard form maximally cubic in the fermions. The complexity of the model is transferred to a non-canonical and nonlinear conjugation property of the fermions. Employing the new cubic supercharges, we apply a supersymmetric generalization of a “folding” procedure for A2n−1⊕A1 to explicitly construct the supercharges and Hamiltonian for arbitrary even-N supersymmetric extensions of the Bn, Cn and Dn rational Calogero models. We demonstrate that all considered models possess a dynamical osp(N|2) superconformal symmetry.
Keywords
- Calogero models, Extended supersymmetry
ASJC Scopus subject areas
- Physics and Astronomy(all)
- Nuclear and High Energy Physics
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In: Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics, Vol. 791, 10.04.2019, p. 385-389.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Extended supersymmetric Calogero model
AU - Krivonos, Sergey
AU - Lechtenfeld, Olaf
AU - Provorov, Alexander
AU - Sutulin, Anton
N1 - Funding Information: 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 - 2019/4/10
Y1 - 2019/4/10
N2 - We present a surprising redefinition of matrix fermions which brings the supercharges of the N-extended supersymmetric An−1 Calogero model introduced in [1] to the standard form maximally cubic in the fermions. The complexity of the model is transferred to a non-canonical and nonlinear conjugation property of the fermions. Employing the new cubic supercharges, we apply a supersymmetric generalization of a “folding” procedure for A2n−1⊕A1 to explicitly construct the supercharges and Hamiltonian for arbitrary even-N supersymmetric extensions of the Bn, Cn and Dn rational Calogero models. We demonstrate that all considered models possess a dynamical osp(N|2) superconformal symmetry.
AB - We present a surprising redefinition of matrix fermions which brings the supercharges of the N-extended supersymmetric An−1 Calogero model introduced in [1] to the standard form maximally cubic in the fermions. The complexity of the model is transferred to a non-canonical and nonlinear conjugation property of the fermions. Employing the new cubic supercharges, we apply a supersymmetric generalization of a “folding” procedure for A2n−1⊕A1 to explicitly construct the supercharges and Hamiltonian for arbitrary even-N supersymmetric extensions of the Bn, Cn and Dn rational Calogero models. We demonstrate that all considered models possess a dynamical osp(N|2) superconformal symmetry.
KW - Calogero models
KW - Extended supersymmetry
UR - http://www.scopus.com/inward/record.url?scp=85062820482&partnerID=8YFLogxK
U2 - 10.48550/arXiv.1812.10168
DO - 10.48550/arXiv.1812.10168
M3 - Article
AN - SCOPUS:85062820482
VL - 791
SP - 385
EP - 389
JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
SN - 0370-2693
ER -