Representations of Wess-Zumino-Witten models in free-field realization

Journal Article · Wed Jan 15 04:00:00 EST 1992 · Physical Review, D (Particles Fields); (United States)

DOI:https://doi.org/10.1103/PhysRevD.45.565· OSTI ID:7206141

Kikuchi, Y; Ishizuka, W ^[1]

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1. Department of Physics, McGill University, Montreal, Quebec, H3A2T8 (Canada)

A general procedure is presented by which representations are constructed for an SU({ital n}){sub {ital k}} Wess-Zumino-Witten model in the free-field realization. In particular, it is the purpose of this paper to show how proper {ital conjugate} vertex operators are constructed. Such operators are of prime importance in the Coulomb-gas approach where correlation functions are calculable. The bosonization is shown to be crucial in this formalism. An intriguing relation is clarified between screening currents, conjugate identity operators, and those for primary states. The representations of SU(2){sub {ital k}} and SU(3){sub {ital k}} models are studied in detail. Correlation functions are also discussed briefly.

• OSTI ID: 7206141
• Journal Information: Physical Review, D (Particles Fields); (United States), Journal Name: Physical Review, D (Particles Fields); (United States) Vol. 45:2; ISSN PRVDA; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

662110* -- General Theory of Particles & Fields-- Theory of Fields & Strings-- (1992-)
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BOSON EXPANSION
CONFORMAL INVARIANCE
CORRELATION FUNCTIONS
CURRENT ALGEBRA
ENERGY-MOMENTUM TENSOR
FIELD THEORIES
FUNCTIONS
INVARIANCE PRINCIPLES
LIE GROUPS
MATHEMATICAL OPERATORS
QUANTUM FIELD THEORY
QUANTUM OPERATORS
SCALAR FIELDS
SU GROUPS
SU-2 GROUPS
SU-3 GROUPS
SYMMETRY GROUPS
TENSORS
VERTEX FUNCTIONS