On N=2 supersymmetric Ruijsenaars–Schneider models

Sergey Krivonos; Olaf Lechtenfeld

doi:10.48550/arXiv.2005.06486

On N=2 supersymmetric Ruijsenaars–Schneider models

Sergey Krivonos
, Olaf Lechtenfeld^*

^*Corresponding author for this work

Institute of Theoretical Physics

Joint Institute for Nuclear Research

Research output: Contribution to journal › Article › Research › peer review

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.

Original language	English
Article number	135545
Journal	Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
Volume	807
E-pub ahead of print	8 Jun 2020
DOIs	https://doi.org/10.48550/arXiv.2005.06486 https://doi.org/10.1016/j.physletb.2020.135545
Publication status	Published - 10 Aug 2020

Keywords

Calogero–Moser–Sutherland models
N=2 supersymmetry
Ruijsenaars–Schneider models

ASJC Scopus subject areas

Nuclear and High Energy Physics

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10.48550/arXiv.2005.06486Licence: Arxiv nonexclusive-distrib 1.0
10.1016/j.physletb.2020.135545Licence: CC BY 4.0

Cite this

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title = "On N=2 supersymmetric Ruijsenaars–Schneider models",

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.",

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note = "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. ",

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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.

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KW - N=2 supersymmetry

KW - Ruijsenaars–Schneider models

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JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

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ER -

On N=2 supersymmetric Ruijsenaars–Schneider models

Abstract

Keywords

ASJC Scopus subject areas

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