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Z(2N) parafermions from U(1) loop group

Technical Report:

Abstract

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.
Publication Date:
Apr 01, 1993
Product Type:
Technical Report
Report Number:
KFKI-1993-08/A
Reference Number:
SCA: 662100; PA: AIX-25:007096; EDB-94:015636; ERA-19:007588; NTS-94:015097; SN: 94001126821
Resource Relation:
Other Information: PBD: Apr 1993
Subject:
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
OSTI ID:
10113692
Research Organizations:
Hungarian Academy of Sciences, Budapest (Hungary). Central Research Inst. for Physics
Country of Origin:
Hungary
Language:
English
Other Identifying Numbers:
Other: ON: DE94611112; TRN: HU9316205007096
Availability:
OSTI; NTIS (US Sales Only); INIS
Submitting Site:
INIS
Size:
17 p.
Announcement Date:
Jun 30, 2005

Technical Report:

Citation Formats

Boehm, G, and Szlachanyi, K. Z(2N) parafermions from U(1) loop group. Hungary: N. p., 1993. Web.
Boehm, G, & Szlachanyi, K. Z(2N) parafermions from U(1) loop group. Hungary.
Boehm, G, and Szlachanyi, K. 1993. "Z(2N) parafermions from U(1) loop group." Hungary.
@misc{etde_10113692,
title = {Z(2N) parafermions from U(1) loop group}
author = {Boehm, G, and Szlachanyi, K}
abstractNote = {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.}
place = {Hungary}
year = {1993}
month = {Apr}
}