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 -