Fusion and braiding in W-algebra extended conformal theories; Generalization to chiral screened vertex operators labelled by arbitrary young tableaux

Journal Article · Sun May 20 04:00:00 EDT 1990 · International Journal of Modern Physics A; (USA)

DOI:https://doi.org/10.1142/S0217751X9000088X· OSTI ID:6135731

Bilal, A ^[1]

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1. Theory Div., CERN, CH-1211 Geneva 23 (CH)

In a previous work, the authors defined the chiral screened vertex operators of W-algebra extended conformal theories by fusion of elementary ones. After reviewing how to obtain the braid group representation matrices, realizing the exchange algebra for those chiral vertex operators corresponding to the symmetric tensor representations of A{sub n}, the authors generalize their results to chiral screened vertex operators associated with arbitrary A{sub n} representations. The fused braiding matrices for antisymmetric tensor screened vertex operators are computed explicitly and shown to have a very simple form. Closure of the exchange algebra in the general case is proved using the relation with the Boltzmann weights of the A{sub n} face models.

• OSTI ID: 6135731
• Journal Information: International Journal of Modern Physics A; (USA), Journal Name: International Journal of Modern Physics A; (USA) Vol. 5:10; ISSN IMPAE; ISSN 0217-751X
• Country of Publication: United States
• Language: English

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71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ALGEBRAIC FIELD THEORY
AXIOMATIC FIELD THEORY
BOSON-EXCHANGE MODELS
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MATRICES
PARTICLE MODELS
PERIPHERAL MODELS
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SYMMETRY
TENSORS
VERTEX FUNCTIONS