Fusion Rules in Conformal Field Theory | Zendy

Fuchs Jürgen | Zendy

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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

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.

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