Publicação
Spinning Hopf solitons on S-3 x R
| Resumo: | We consider a field theory with target space being the two dimensional sphere S-2 and defined on the space-time S-3 x R. The Lagrangean is the square of the pull-back of the area form on S-2. It is invariant under the conformal group SO(4, 2) and the infinite dimensional group of area preserving diffeomorphisms of S-2. We construct an infinite number of exact soliton solutions with non-trivial Hopf topological charges. The solutions spin with a frequency which is bounded above by a quantity proportional to the inverse of the radius of S-3. The construction of the solutions is made possible by an ansatz which explores the conformal symmetry and a U(1) subgroup of the area preserving diffeomorphism group. |
|---|---|
| Autores principais: | do Bonfim, ACR |
| Outros Autores: | Ferreira, L. A. |
| Assunto: | integrable field theories integrable hierarchies sigma models |
| Ano: | 2014 |
| País: | Brasil |
| Tipo de documento: | artigo |
| Tipo de acesso: | acesso aberto |
| Instituição associada: | IBICT |
| Idioma: | inglês |
| Origem: | Oasisbr |
| _version_ | 1871532912234463232 |
|---|---|
| author | do Bonfim, ACR |
| author2 | Ferreira, L. A. |
| author2_role | author |
| author_facet | do Bonfim, ACR Ferreira, L. A. |
| author_role | author |
| country_str | BR |
| creators_json_txt | [{\"Person.name\":\"do Bonfim, ACR\"},{\"Person.name\":\"Ferreira, L. A.\"}] |
| datacite.creators.creator.creatorName.fl_str_mv | do Bonfim, ACR Ferreira, L. A. |
| datacite.date.Accepted.fl_str_mv | 2006-03-01T00:00:00Z |
| datacite.date.available.fl_str_mv | 2014-05-20T14:07:03Z |
| datacite.date.embargoed.fl_str_mv | 2014-05-20T14:07:03Z |
| datacite.rights.fl_str_mv | http://purl.org/coar/access_right/c_abf2 |
| datacite.subjects.subject.fl_str_mv | integrable field theories integrable hierarchies sigma models |
| datacite.titles.title.fl_str_mv | Spinning Hopf solitons on S-3 x R |
| dc.creator.none.fl_str_mv | do Bonfim, ACR Ferreira, L. A. |
| dc.date.Accepted.fl_str_mv | 2006-03-01T00:00:00Z |
| dc.date.available.fl_str_mv | 2014-05-20T14:07:03Z |
| dc.date.embargoed.fl_str_mv | 2014-05-20T14:07:03Z |
| dc.format.none.fl_str_mv | 12 |
| dc.identifier.none.fl_str_mv | http://hdl.handle.net/11449/23556 |
| dc.language.none.fl_str_mv | eng |
| dc.publisher.none.fl_str_mv | Int School Advanced Studies |
| dc.rights.none.fl_str_mv | http://purl.org/coar/access_right/c_abf2 |
| dc.source.none.fl_str_mv | reponame:Repositório Institucional da UNESP instname:Universidade Estadual Paulista (UNESP) instacron:UNESP |
| dc.subject.none.fl_str_mv | integrable field theories integrable hierarchies sigma models |
| dc.title.fl_str_mv | Spinning Hopf solitons on S-3 x R |
| dc.type.none.fl_str_mv | http://purl.org/coar/resource_type/c_6501 |
| description | We consider a field theory with target space being the two dimensional sphere S-2 and defined on the space-time S-3 x R. The Lagrangean is the square of the pull-back of the area form on S-2. It is invariant under the conformal group SO(4, 2) and the infinite dimensional group of area preserving diffeomorphisms of S-2. We construct an infinite number of exact soliton solutions with non-trivial Hopf topological charges. The solutions spin with a frequency which is bounded above by a quantity proportional to the inverse of the radius of S-3. The construction of the solutions is made possible by an ansatz which explores the conformal symmetry and a U(1) subgroup of the area preserving diffeomorphism group. |
| dirty | 0 |
| eu_rights_str_mv | openAccess |
| format | article |
| id | oasisbr_e650a5e3ecfb3ac344077ece2fcda94d |
| identifier.url.fl_str_mv | http://hdl.handle.net/11449/23556 |
| inst_facet_str | urn:organizationAcronym:oasisbr{{{_:::_}}}IBICT |
| instacron_str | OASISBR |
| institution | IBICT |
| instname_str | IBICT |
| language | eng |
| network_acronym_str | oasisbr |
| network_name_str | Oasisbr |
| oai_identifier_str | oai:repositorio.unesp.br:11449/23556 |
| organization_str_mv | urn:organizationAcronym:oasisbr |
| person_str_mv | do Bonfim, ACR Ferreira, L. A. |
| publishDate | 2014 |
| publisher.none.fl_str_mv | Int School Advanced Studies |
| repo_facet_str | urn:repositoryAcronym:oasisbr{{{_:::_}}}Oasisbr |
| reponame_str | Oasisbr |
| repository_id_str | urn:repositoryAcronym:oasisbr |
| service_str_mv | urn:repositoryAcronym:oasisbr |
| spelling | Spinning Hopf solitons on S-3 x Rdo Bonfim, ACRFerreira, L. A.integrable field theoriesintegrable hierarchiessigma modelsopen accesshttp://purl.org/coar/access_right/c_abf2http://hdl.handle.net/11449/23556Handlehttp://arxiv.org/abs/hep-th/0602234URLHasVersionJournal of High Energy Physics. Trieste: Int School Advanced Studies, n. 3, 12 p., 2006.N/AHasVersion1126-6708N/AHasVersionWOS:000236582900008N/AHasVersionhttp://hdl.handle.net/11449/23556Handle2014-05-20T14:07:03Z2014-05-202006-03-01T00:00:00ZWe consider a field theory with target space being the two dimensional sphere S-2 and defined on the space-time S-3 x R. The Lagrangean is the square of the pull-back of the area form on S-2. It is invariant under the conformal group SO(4, 2) and the infinite dimensional group of area preserving diffeomorphisms of S-2. We construct an infinite number of exact soliton solutions with non-trivial Hopf topological charges. The solutions spin with a frequency which is bounded above by a quantity proportional to the inverse of the radius of S-3. The construction of the solutions is made possible by an ansatz which explores the conformal symmetry and a U(1) subgroup of the area preserving diffeomorphism group.eng12Int School Advanced Studiesreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPjournal articlehttp://purl.org/coar/resource_type/c_6501literatureVoRhttp://purl.org/coar/version/c_970fb48d4fbd8a85 |
| spellingShingle | Spinning Hopf solitons on S-3 x R do Bonfim, ACR integrable field theories integrable hierarchies sigma models |
| status | SINGLETON |
| status_str | VoR |
| subject.fl_str_mv | integrable field theories integrable hierarchies sigma models |
| title | Spinning Hopf solitons on S-3 x R |
| title_full | Spinning Hopf solitons on S-3 x R |
| title_fullStr | Spinning Hopf solitons on S-3 x R |
| title_full_unstemmed | Spinning Hopf solitons on S-3 x R |
| title_short | Spinning Hopf solitons on S-3 x R |
| title_sort | Spinning Hopf solitons on S-3 x R |
| topic | integrable field theories integrable hierarchies sigma models |
| topic_facet | integrable field theories integrable hierarchies sigma models |
| url | http://hdl.handle.net/11449/23556 |
| visible | 1 |
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