On topological excitations with isovector topological charges
Identifieur interne : 002A30 ( Istex/Corpus ); précédent : 002A29; suivant : 002A31On topological excitations with isovector topological charges
Auteurs : S. A. BulgadaevSource :
- Journal of Experimental and Theoretical Physics Letters [ 0021-3640 ] ; 1996-05-01.
English descriptors
Abstract
Abstract: It is shown that degenerate systems with order parameter ψ taking on values in compact homogeneous subspaces T G or G/T G (where G is a simple compact group and T G is its maximum commutative subgroup) possess a rich collection of topological excitations (vortices or, correspondingly, instantons) with isovector topological charges. The corresponding homotopy groups are found for all G. The possibility of a topological interpretation of the quantum numbers of the groups and particles is discussed.
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DOI: 10.1134/1.567093
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D. Landau Institute of Theoretical Physics</OrgDivision><OrgName>Russian Academy of Sciences</OrgName><OrgAddress><Postcode>117334</Postcode><City>Moscow</City><Country>Russia</Country></OrgAddress></Affiliation></AuthorGroup><Abstract ID="Abs1" Language="En"><Heading>Abstract</Heading><Para>It is shown that degenerate systems with order parameter ψ taking on values in compact homogeneous subspaces <Emphasis Type="Italic">T</Emphasis><Subscript><Emphasis Type="Italic">G</Emphasis></Subscript> or <Emphasis Type="Italic">G</Emphasis>/<Emphasis Type="Italic">T</Emphasis><Subscript><Emphasis Type="Italic">G</Emphasis></Subscript> (where <Emphasis Type="Italic">G</Emphasis> is a simple compact group and <Emphasis Type="Italic">T</Emphasis><Subscript><Emphasis Type="Italic">G</Emphasis></Subscript> is its maximum commutative subgroup) possess a rich collection of topological excitations (vortices or, correspondingly, instantons) with isovector topological charges. The corresponding homotopy groups are found for all <Emphasis Type="Italic">G</Emphasis>. The possibility of a topological interpretation of the quantum numbers of the groups and particles is discussed.</Para></Abstract><KeywordGroup Language="En"><Heading>PACS numbers</Heading><Keyword>11.10.Lm</Keyword><Keyword>02.20.Nq</Keyword></KeywordGroup><ArticleNote Type="Misc"><SimplePara>Pis’ma Zh. Éksp. Teor. Fiz. <Emphasis Type="Bold">63</Emphasis>, No. 10, 758–762 (25 May 1996)</SimplePara></ArticleNote></ArticleHeader><NoBody></NoBody></Article></Issue></Volume></Journal></Publisher></istex:document></istex:metadataXml><mods version="3.6"><titleInfo lang="en"><title>On topological excitations with isovector topological charges</title></titleInfo><titleInfo type="alternative" contentType="CDATA" lang="en"><title>On topological excitations with isovector topological charges</title></titleInfo><name type="personal"><namePart type="given">S.</namePart><namePart type="given">A.</namePart><namePart type="family">Bulgadaev</namePart><affiliation>L. D. Landau Institute of Theoretical Physics, Russian Academy of Sciences, 117334, Moscow, Russia</affiliation><role><roleTerm type="text">author</roleTerm></role></name><typeOfResource>text</typeOfResource><genre type="research-article" displayLabel="OriginalPaper" authority="ISTEX" authorityURI="https://content-type.data.istex.fr" valueURI="https://content-type.data.istex.fr/ark:/67375/XTP-1JC4F85T-7">research-article</genre><originInfo><publisher>Nauka/Interperiodica</publisher><place><placeTerm type="text">Moscow</placeTerm></place><dateCreated encoding="w3cdtf">1996-02-22</dateCreated><dateIssued encoding="w3cdtf">1996-05-01</dateIssued><dateIssued encoding="w3cdtf">1996</dateIssued><copyrightDate encoding="w3cdtf">1996</copyrightDate></originInfo><language><languageTerm type="code" authority="rfc3066">en</languageTerm><languageTerm type="code" authority="iso639-2b">eng</languageTerm></language><abstract lang="en">Abstract: It is shown that degenerate systems with order parameter ψ taking on values in compact homogeneous subspaces T G or G/T G (where G is a simple compact group and T G is its maximum commutative subgroup) possess a rich collection of topological excitations (vortices or, correspondingly, instantons) with isovector topological charges. The corresponding homotopy groups are found for all G. 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