Infinite conformal symmetry in two-dimensional quantum field theory
We present an investigation of the massless, two-dimensional, interacting field theories. Their basic property is their invariance under an infinite-dimensional group of conformal (analytic) transformations. It is shown that the local fields forming the operator algebra can be classified according to the irreducible representations of the Virasoro algebra, and that the correlation functions are built up of the `conformal blocks' which are completely determined by the conformal invariance. Exactly solvable conformal theories associated with the degenerate representations are analyzed. In these theories the anomalous dimensions are known exactly and the correlation functions satisfy systems of linear differential equations.
massless, two-dimensional, interacting field theories
scientific article; zbMATH DE number 4079695