N=2 supersymmetric hyperbolic Calogero-Sutherland model

N=2 supersymmetric hyperbolic Calogero-Sutherland model

The N=2 supersymmetric hyperbolic Calogero-Sutherland model obtained in arXiv:1902.08023 by gauging the N=2 superfield matrix system is studied. Classical and quantum N=2 supersymmetry generators are found. The difference in the structure of classical and quantum supercharges is established. It is s...

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Main Author: Sergey Fedoruk
Format: Article
Language:English
Published: Elsevier 2020-04-01
Series:Nuclear Physics B
Online Access:http://www.sciencedirect.com/science/article/pii/S0550321320300638
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spelling doaj-a492b9cc06234ab893a9acc0773759052020-11-25T02:29:32ZengElsevierNuclear Physics B0550-32132020-04-01953N=2 supersymmetric hyperbolic Calogero-Sutherland modelSergey Fedoruk0Bogoliubov Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, 141980 Dubna, Moscow region, RussiaThe N=2 supersymmetric hyperbolic Calogero-Sutherland model obtained in arXiv:1902.08023 by gauging the N=2 superfield matrix system is studied. Classical and quantum N=2 supersymmetry generators are found. The difference in the structure of classical and quantum supercharges is established. It is shown that, unlike classical supercharges, quantum supersymmetry generators can be limited to an invariant sub-sector that does not contain off-diagonal fermion operators. The Lax pair for supersymmetric generalization of the hyperbolic Calogero-Sutherland system is constructed.http://www.sciencedirect.com/science/article/pii/S0550321320300638
collection DOAJ
language English
format Article
sources DOAJ
author Sergey Fedoruk
spellingShingle Sergey Fedoruk
N=2 supersymmetric hyperbolic Calogero-Sutherland model
Nuclear Physics B
author_facet Sergey Fedoruk
author_sort Sergey Fedoruk
title N=2 supersymmetric hyperbolic Calogero-Sutherland model
title_short N=2 supersymmetric hyperbolic Calogero-Sutherland model
title_full N=2 supersymmetric hyperbolic Calogero-Sutherland model
title_fullStr N=2 supersymmetric hyperbolic Calogero-Sutherland model
title_full_unstemmed N=2 supersymmetric hyperbolic Calogero-Sutherland model
title_sort n=2 supersymmetric hyperbolic calogero-sutherland model
publisher Elsevier
series Nuclear Physics B
issn 0550-3213
publishDate 2020-04-01
description The N=2 supersymmetric hyperbolic Calogero-Sutherland model obtained in arXiv:1902.08023 by gauging the N=2 superfield matrix system is studied. Classical and quantum N=2 supersymmetry generators are found. The difference in the structure of classical and quantum supercharges is established. It is shown that, unlike classical supercharges, quantum supersymmetry generators can be limited to an invariant sub-sector that does not contain off-diagonal fermion operators. The Lax pair for supersymmetric generalization of the hyperbolic Calogero-Sutherland system is constructed.
url http://www.sciencedirect.com/science/article/pii/S0550321320300638
work_keys_str_mv AT sergeyfedoruk n2supersymmetrichyperboliccalogerosutherlandmodel
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