nLab
rational 2d conformal field theory

Contents

Idea

Rational 2d conformal field theories are that class of relatively simple 2d CFTs, such as the WZW model, which are characterized by the fact that their spaces of conformal blocks are finite dimensional vector spaces.

Locally such 2d CFTs are given by a rational vertex operator algebra.

Properties

Classification

The FRS-theorem on rational 2d CFT provides a complete classification of rational 2d CFT via the CS-WZW correspondence and the Reshetikhin-Turaev construction of 3d Chern-Simons theory.

Last revised on February 1, 2015 at 20:04:58. See the history of this page for a list of all contributions to it.