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Fusion rules in conformal field theory

arXiv:hep-th/9306162 · doi:10.1002/prop.2190420102

Abstract

Several aspects of fusion rings and fusion rule algebras, and of their manifestations in twodimensional (conformal) field theory, are described: diagonalization and the connection with modular invariance; the presentation in terms of quotients of polynomial rings; fusion graphs; various strategies that allow for a partial classification; and the role of the fusion rules in the conformal bootstrap programme.

68 pages, LaTeX. changed contents of footnote no. 9