Infinite conformal symmetry in two-dimensional quantum field theory
type: Item
instance of: scholarly article
title: Infinite conformal symmetry in two-dimensional quantum field theory
zbMATH Open document ID: 0661.17013
DOI: 10.1016/0550-3213(84)90052-X
publication date: 1984-01-01T00:00:00Z
review text: 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.
Mathematics Subject Classification ID: 17B65
Mathematics Subject Classification ID: 81T40
Mathematics Subject Classification ID: 58J90
Mathematics Subject Classification ID: 17B10
Mathematics Subject Classification ID: 81R10
zbMATH DE Number: 4079695
zbMATH Keywords: massless, two-dimensional, interacting field theories
zbMATH Keywords: irreducible representations
zbMATH Keywords: Virasoro algebra
zbMATH Keywords: conformal invariance
Wikidata QID: Q29542407
author: Alexander Belavin
author: Alexander M. Polyakov
author: Alexander Zamolodchikov
MaRDI profile type: Publication
cites work: Q5820721
cites work: Q5485625
published in: Nuclear Physics B
description: scientific article; zbMATH DE number 4079695