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...
Main Authors: | , , |
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Format: | Article |
Language: | English |
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Elsevier
2018-09-01
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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. |
first_indexed | 2024-04-12T11:53:55Z |
format | Article |
id | doaj.art-942b1b4d1123411f84efaaed2057b57c |
institution | Directory Open Access Journal |
issn | 0370-2693 |
language | English |
last_indexed | 2024-04-12T11:53:55Z |
publishDate | 2018-09-01 |
publisher | Elsevier |
record_format | Article |
series | Physics Letters B |
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 |
work_keys_str_mv | AT sergeykrivonos nextendedsupersymmetriccalogeromodels AT olaflechtenfeld nextendedsupersymmetriccalogeromodels AT antonsutulin nextendedsupersymmetriccalogeromodels |