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.
Hungarian Academy of Sciences, Budapest (Hungary). Central Research Inst. for Physics
OSTI; NTIS (US Sales Only); INIS
Hungary
1993-04-01
English
Technical Report
Other Information: PBD: Apr 1993
Medium: X; Size: 17 p.
https://doi.org/
ON: DE94611112
KFKI-1993-08/A
Other: ON: DE94611112; TRN: HU9316205007096
INIS; SCA: 662100; PA: AIX-25:007096; EDB-94:015636; ERA-19:007588; NTS-94:015097; SN: 94001126821
2008-02-12
10113692