Conformal field theory and graphs

Abstract

We review a method of construction of exceptional graphs generalising the ADE Dynkin diagrams which encode the spectrum of conformal field theories described by conformal embeddings of $\widehat{sl}(n{)}_k$.

Plain Tex, 7 pages; 2 figures. Talk given at the 21st International Colloquium on Group Theoretical Methods in Physics, Goslar, Germany, 15-20 July 1996

Cited by in corpus (6)

• Boundary Conditions in Rational Conformal Field Theories
• Modular Invariants, Graphs and $\alpha$-Induction for Nets of Subfactors. III
• Modular Invariants, Graphs and $\alpha$-Induction for Nets of Subfactors II
• Critical Phenomena, modular invariants and operator algebras
• Quantum symmetries for exceptional SU(4) modular invariants associated with conformal embeddings
• Modular invariants and subfactors