N-extended supersymmetric Calogero models

We propose a new N-extended supersymmetric su(n) spin-Calogero model. Employing a generalized Hamiltonian reduction adopted to the supersymmetric case, we explicitly construct a novel rational n-particle Calogero model with an arbitrary even number of supersymmetries. It features Nn2 rather than Nn...

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Main Authors: Sergey Krivonos, Olaf Lechtenfeld, Anton Sutulin
Format: Article
Language:English
Published: Elsevier 2018-09-01
Series:Physics Letters B
Online Access:http://www.sciencedirect.com/science/article/pii/S0370269318305744
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author Sergey Krivonos
Olaf Lechtenfeld
Anton Sutulin
author_facet Sergey Krivonos
Olaf Lechtenfeld
Anton Sutulin
author_sort Sergey Krivonos
collection DOAJ
description We propose a new N-extended supersymmetric su(n) spin-Calogero model. Employing a generalized Hamiltonian reduction adopted to the supersymmetric case, we explicitly construct a novel rational n-particle Calogero model with an arbitrary even number of supersymmetries. It features Nn2 rather than Nn fermionic coordinates and increasingly high fermionic powers in the supercharges and the Hamiltonian.
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spelling doaj.art-942b1b4d1123411f84efaaed2057b57c2022-12-22T03:34:04ZengElsevierPhysics Letters B0370-26932018-09-01784137141N-extended supersymmetric Calogero modelsSergey Krivonos0Olaf Lechtenfeld1Anton Sutulin2Bogoliubov Laboratory of Theoretical Physics, JINR, 141980 Dubna, Russia; St. Petersburg Department of V.A. Steklov Institute of Mathematics of the Russian Academy of Sciences, 27 Fontanka, St. Petersburg, RussiaInstitut für Theoretische Physik and Riemann Center for Geometry and Physics, Leibniz Universität Hannover, Appelstrasse 2, D-30167 Hannover, Germany; Corresponding author.Bogoliubov Laboratory of Theoretical Physics, JINR, 141980 Dubna, RussiaWe propose a new N-extended supersymmetric su(n) spin-Calogero model. Employing a generalized Hamiltonian reduction adopted to the supersymmetric case, we explicitly construct a novel rational n-particle Calogero model with an arbitrary even number of supersymmetries. It features Nn2 rather than Nn fermionic coordinates and increasingly high fermionic powers in the supercharges and the Hamiltonian.http://www.sciencedirect.com/science/article/pii/S0370269318305744
spellingShingle Sergey Krivonos
Olaf Lechtenfeld
Anton Sutulin
N-extended supersymmetric Calogero models
Physics Letters B
title N-extended supersymmetric Calogero models
title_full N-extended supersymmetric Calogero models
title_fullStr N-extended supersymmetric Calogero models
title_full_unstemmed N-extended supersymmetric Calogero models
title_short N-extended supersymmetric Calogero models
title_sort n extended supersymmetric calogero models
url http://www.sciencedirect.com/science/article/pii/S0370269318305744
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AT olaflechtenfeld nextendedsupersymmetriccalogeromodels
AT antonsutulin nextendedsupersymmetriccalogeromodels