Fusion in the W_3 algebra

Abstract

We develop the notions of fusion for representations of the W_3 algebra along the lines of Feigin and Fuchs. We present some explicit calculations for a W_3 minimal model.

15 pages, LaTeX 2.09, DAMTP-94-26 - replacing old version which did not compile

References in corpus (4)

• Null vectors, 3-point and 4-point functions in conformal field theory
• Null vectors of the W_3 algebra
• Fusion rules of chiral algebras
• Singular vectors of the $W{A}_2$ algebra

Cited by in corpus (11)

• Unitarity of rational N=2 superconformal theories
• Correlation functions with fusion-channel multiplicity in W3 Toda field theory
• On sl3 Knizhnik-Zamolodchikov equations and W3 null-vector equations
• A note on decoupling conditions for generic level $\widehat{sl}(3{)}_k$ and fusion rules
• Second level semi-degenerate fields in W3 Toda theory: matrix element and differential equation
• Testing Macdonald Index as a Refined Character of Chiral Algebra
• Probing integrable perturbations of conformal theories using singular vectors
• On some 3-point functions in the $W_4$ CFT and related braiding matrix
• A Collection of Exercises in Two-Dimensional Physics, Part 1
• A new approach to the correlation functions of W-algebras
• Example of the $4$-pt non-vacuum ${\mathcal{W}}_3$ classical block