G(2)-Calogero-Moser Lax operators from reduction

Detalhes bibliográficos
Autor(a) principal: Fring, Andreas
Data de Publicação: 2006
Outros Autores: Manojlovic, Nenad
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10400.1/11816
Resumo: We construct a Lax operator for the G(2)-Calogero-Moser model by means of a double reduction procedure. In the first reduction step we reduce the A(6)-model to a B-3-model with the help of an embedding of the B-3-root system into the A(6)-root system together with the specification of certain coupling constants. The G(2)-Lax operator is obtained thereafter by means of an additional reduction by exploiting the embedding of the G(2)-system into the B-3-system. The degree of algebraically independent and non-vanishing charges is found to be equal to the degrees of the corresponding Lie algebra.
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spelling G(2)-Calogero-Moser Lax operators from reductionCalogero-moser modelsClassical R-matrixSutherland modelLie-algebrasIntegrable systemsBody problemsOne dimensionField-TheoryEquationsStateWe construct a Lax operator for the G(2)-Calogero-Moser model by means of a double reduction procedure. In the first reduction step we reduce the A(6)-model to a B-3-model with the help of an embedding of the B-3-root system into the A(6)-root system together with the specification of certain coupling constants. The G(2)-Lax operator is obtained thereafter by means of an additional reduction by exploiting the embedding of the G(2)-system into the B-3-system. The degree of algebraically independent and non-vanishing charges is found to be equal to the degrees of the corresponding Lie algebra.Atlantis PressSapientiaFring, AndreasManojlovic, Nenad2018-12-07T14:58:01Z2006-112006-11-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10400.1/11816eng1402-925110.2991/jnmp.2006.13.4.1info:eu-repo/semantics/openAccessreponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãoinstacron:RCAAP2023-07-24T10:23:40Zoai:sapientia.ualg.pt:10400.1/11816Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T20:03:15.970051Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãofalse
dc.title.none.fl_str_mv G(2)-Calogero-Moser Lax operators from reduction
title G(2)-Calogero-Moser Lax operators from reduction
spellingShingle G(2)-Calogero-Moser Lax operators from reduction
Fring, Andreas
Calogero-moser models
Classical R-matrix
Sutherland model
Lie-algebras
Integrable systems
Body problems
One dimension
Field-Theory
Equations
State
title_short G(2)-Calogero-Moser Lax operators from reduction
title_full G(2)-Calogero-Moser Lax operators from reduction
title_fullStr G(2)-Calogero-Moser Lax operators from reduction
title_full_unstemmed G(2)-Calogero-Moser Lax operators from reduction
title_sort G(2)-Calogero-Moser Lax operators from reduction
author Fring, Andreas
author_facet Fring, Andreas
Manojlovic, Nenad
author_role author
author2 Manojlovic, Nenad
author2_role author
dc.contributor.none.fl_str_mv Sapientia
dc.contributor.author.fl_str_mv Fring, Andreas
Manojlovic, Nenad
dc.subject.por.fl_str_mv Calogero-moser models
Classical R-matrix
Sutherland model
Lie-algebras
Integrable systems
Body problems
One dimension
Field-Theory
Equations
State
topic Calogero-moser models
Classical R-matrix
Sutherland model
Lie-algebras
Integrable systems
Body problems
One dimension
Field-Theory
Equations
State
description We construct a Lax operator for the G(2)-Calogero-Moser model by means of a double reduction procedure. In the first reduction step we reduce the A(6)-model to a B-3-model with the help of an embedding of the B-3-root system into the A(6)-root system together with the specification of certain coupling constants. The G(2)-Lax operator is obtained thereafter by means of an additional reduction by exploiting the embedding of the G(2)-system into the B-3-system. The degree of algebraically independent and non-vanishing charges is found to be equal to the degrees of the corresponding Lie algebra.
publishDate 2006
dc.date.none.fl_str_mv 2006-11
2006-11-01T00:00:00Z
2018-12-07T14:58:01Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://hdl.handle.net/10400.1/11816
url http://hdl.handle.net/10400.1/11816
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 1402-9251
10.2991/jnmp.2006.13.4.1
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Atlantis Press
publisher.none.fl_str_mv Atlantis Press
dc.source.none.fl_str_mv reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
instacron:RCAAP
instname_str Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
instacron_str RCAAP
institution RCAAP
reponame_str Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
collection Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
repository.name.fl_str_mv Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
repository.mail.fl_str_mv
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