Details
| Original language | English |
|---|---|
| Article number | 135545 |
| Journal | Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics |
| Volume | 807 |
| Early online date | 8 Jun 2020 |
| Publication status | Published - 10 Aug 2020 |
Abstract
We construct an N=2 supersymmetric extension of n-particle Ruijsenaars–Schneider models. The guiding feature is a deformation of the phase space. The supercharges have a “free” form linear in the fermions but produce an interacting four-fermion Hamiltonian. A field-dependent unitary transformation maps to standard fermions obeying conventional Poisson brackets. In this frame, the supercharges and Hamiltonian have long “fermionic tails”. We also comment on previous attempts in this direction.
Keywords
- Calogero–Moser–Sutherland models, N=2 supersymmetry, Ruijsenaars–Schneider models
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. 807, 135545, 10.08.2020.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - On N=2 supersymmetric Ruijsenaars–Schneider models
AU - Krivonos, Sergey
AU - Lechtenfeld, Olaf
N1 - Funding Information: We thank Nikolay Kozyrev and Armen Nersessian for fruitful discussions. This work was supported by the RFBR-DFG grant No 20-52-12003 . We are grateful to the referee who pointed out a mistake in (4.6) in the first version of this paper, where only the first two Taylor terms of the exponential function had been written.
PY - 2020/8/10
Y1 - 2020/8/10
N2 - We construct an N=2 supersymmetric extension of n-particle Ruijsenaars–Schneider models. The guiding feature is a deformation of the phase space. The supercharges have a “free” form linear in the fermions but produce an interacting four-fermion Hamiltonian. A field-dependent unitary transformation maps to standard fermions obeying conventional Poisson brackets. In this frame, the supercharges and Hamiltonian have long “fermionic tails”. We also comment on previous attempts in this direction.
AB - We construct an N=2 supersymmetric extension of n-particle Ruijsenaars–Schneider models. The guiding feature is a deformation of the phase space. The supercharges have a “free” form linear in the fermions but produce an interacting four-fermion Hamiltonian. A field-dependent unitary transformation maps to standard fermions obeying conventional Poisson brackets. In this frame, the supercharges and Hamiltonian have long “fermionic tails”. We also comment on previous attempts in this direction.
KW - Calogero–Moser–Sutherland models
KW - N=2 supersymmetry
KW - Ruijsenaars–Schneider models
UR - http://www.scopus.com/inward/record.url?scp=85086097575&partnerID=8YFLogxK
U2 - 10.48550/arXiv.2005.06486
DO - 10.48550/arXiv.2005.06486
M3 - Article
AN - SCOPUS:85086097575
VL - 807
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
M1 - 135545
ER -