TY - RPRT
TI - Z(2N) parafermions from U(1) loop group
AB - 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.
AU - "Boehm, G"
AU - "Szlachanyi, K"
KW - "72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS"
KW - "ALGEBRAIC FIELD THEORY"
KW - "FERMIONS"
KW - "U-1 GROUPS"
KW - "CHIRAL SYMMETRY"
KW - "COMMUTATION RELATIONS"
KW - "CONFORMAL INVARIANCE"
KW - "GROUP THEORY"
KW - "WEYL UNIFIED THEORY"
KW - "662100"
KW - "GENERAL THEORY OF PARTICLES AND FIELDS"
DO - https://doi.org/
UR -
PB -
CY - Hungary
PY - 1993
DA - 1993-04-01
LA - English
J2 -
C1 - Hungarian Academy of Sciences, Budapest (Hungary). Central Research Inst. for Physics
C2 -
ER -