IRRATIONAL CONFORMAL FIELD-THEORY

This is a review of irrational conformal field theory, which includes rational conformal field theory as a small subspace. Central topics of the review include the Virasoro master equation, its solutions and th e dynamics of irrational conformal field theory. Discussion of the dyn amics includes the generalized Knizhnik-Zamolodchikov equations on the sphere, the corresponding heat-like systems on the torus and the gene ric world-sheet action of irrational conformal field theory.