Twenty-five years of two-dimensional rational conformal field theory

Abstract

In this article we try to give a condensed panoramic view of the development of two-dimensional rational conformal field theory in the last twenty-five years.

A review for the 50th anniversary of the Journal of Mathematical Physics. Some references added, typos corrected

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Cited by in corpus (18)

• Impact of boundaries on fully connected random geometric networks
• Physical principles underlying the quantum Hall effect
• Classifying three-character RCFTs with Wronskian Index equalling $0$ or $2$
• Galois Symmetry Induced by Hecke Relations in Rational Conformal Field Theory and Associated Modular Tensor Categories
• Orbifolds of Reshetikhin-Turaev TQFTs
• The Nakayama automorphism of the almost Calabi-Yau algebras associated to SU(3) modular invariants
• Wronskian Indices and Rational Conformal Field Theories
• Renormalized Hennings Invariants and 2+1-TQFTs
• Quantization via Linear homotopy types
• Boundary conditions in Toda theories and minimal models
• Boundary conformal field theory at the extraordinary transition: The layer susceptibility to $O(\epsilon )$
• Matrix product approximations to conformal field theories
• Counting charged massless states in the (0,2) heterotic CFT/geometry connection
• Entropy of conformal perturbation defects
• From Operator Algebras to Superconformal Field Theory
• Braided Subfactors, Spectral Measures, Planar algebras and Calabi-Yau algebras associated to SU(3) modular invariants
• Algebraic structures in two-dimensional conformal field theory
• The Cyclic and Modular Microcosm Principle in Quantum Topology