"TITLE","AUTHORS","SUBJECT","SUBJECT_RELATED","DESCRIPTION","PUBLISHER","AVAILABILITY","RESEARCH_ORG","SPONSORING_ORG","PUBLICATION_COUNTRY","PUBLICATION_DATE","LANGUAGE","RESOURCE_TYPE","TYPE_QUALIFIER","RELATION","COVERAGE","FORMAT","IDENTIFIER","REPORT_NUMBER","DOE_CONTRACT_NUMBER","OTHER_IDENTIFIER","DOI","RIGHTS","ENTRY_DATE","OSTI_IDENTIFIER","PURL_URL"
"Z(2N) parafermions from U(1) loop group","Boehm, G; Szlachanyi, K","72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; ALGEBRAIC FIELD THEORY; FERMIONS; U-1 GROUPS; CHIRAL SYMMETRY; COMMUTATION RELATIONS; CONFORMAL INVARIANCE; GROUP THEORY; WEYL UNIFIED THEORY; 662100; GENERAL THEORY OF PARTICLES AND FIELDS","","The concept of the loop group describes a conformal model in terms of bounded operators. The simplest possibility, the central extended U(1) loop group algebra spanned by operators W(f), f:S{sup 1}{yields}R satisfying Weyl algebra relations is considered. The possibility that the loop group element e{sup if} represented by W(f) does not necessarily lie in the identity component is investigated. This leads to a quantization of the level parameter k in the cocycle. Considering this `large` loop group algebra as the algebra of observables, their Z{sub k} type of superselection sectors is studied, and fields are constructed that create the Z{sub k} charges. The commutation relations of these fields turn out to be of the parafermion type. (K.A.) 4 refs.","","OSTI; NTIS (US Sales Only); INIS","Hungarian Academy of Sciences, Budapest (Hungary). Central Research Inst. for Physics","","Hungary","1993-04-01","English","Technical Report","","Other Information: PBD: Apr 1993","","Medium: X; Size: 17 p.","ON: DE94611112","KFKI-1993-08/A","","Other: ON: DE94611112; TRN: HU9316205007096","https://doi.org/","","2008-02-12","10113692",""