Premium
Fusion Rules in Conformal Field Theory
Author(s) -
Fuchs Jürgen
Publication year - 1994
Publication title -
fortschritte der physik/progress of physics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.469
H-Index - 71
eISSN - 1521-3978
pISSN - 0015-8208
DOI - 10.1002/prop.2190420102
Subject(s) - fusion rules , conformal field theory , conformal map , conformal symmetry , connection (principal bundle) , quotient , pure mathematics , conformal anomaly , field (mathematics) , fusion , mathematics , weyl transformation , algebra over a field , theoretical physics , physics , mathematical analysis , geometry , philosophy , image fusion , linguistics
Abstract Several aspects of fusion rings and fusion rule algebras, and of their manifestations in two‐dimensional (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.